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74972736 = 2633431009
BaseRepresentation
bin1000111011111…
…11111001000000
312020002000021000
410131333321000
5123143111421
611234532000
71600154256
oct435777100
9166060230
1074972736
1139358143
1221137000
13126c0087
149d585d6
1568ae226
hex477fe40

74972736 has 112 divisors (see below), whose sum is σ = 225755200. Its totient is φ = 24385536.

The previous prime is 74972717. The next prime is 74972749. The reversal of 74972736 is 63727947.

It is a happy number.

It is a super-2 number, since 2×749727362 = 11241822286651392, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 74972691 and 74972700.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73800 + ... + 74808.

Almost surely, 274972736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74972736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112877600).

74972736 is an abundant number, since it is smaller than the sum of its proper divisors (150782464).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

74972736 is a wasteful number, since it uses less digits than its factorization.

74972736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073 (or 1057 counting only the distinct ones).

The product of its digits is 444528, while the sum is 45.

The square root of 74972736 is about 8658.6798069914. The cubic root of 74972736 is about 421.6652256838.

The spelling of 74972736 in words is "seventy-four million, nine hundred seventy-two thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 43 48 54 64 72 86 96 108 129 144 172 192 216 258 288 344 387 432 516 576 688 774 864 1009 1032 1161 1376 1548 1728 2018 2064 2322 2752 3027 3096 4036 4128 4644 6054 6192 8072 8256 9081 9288 12108 12384 16144 18162 18576 24216 24768 27243 32288 36324 37152 43387 48432 54486 64576 72648 74304 86774 96864 108972 130161 145296 173548 193728 217944 260322 290592 347096 390483 435888 520644 581184 694192 780966 871776 1041288 1171449 1388384 1561932 1743552 2082576 2342898 2776768 3123864 4165152 4685796 6247728 8330304 9371592 12495456 18743184 24990912 37486368 74972736