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72934932 = 22372235393
BaseRepresentation
bin1000101100011…
…10011000010100
312002020110220210
410112032120110
5122132404212
611123125420
71543636200
oct426163024
9162213823
1072934932
1138196104
1220513870
1312158685
149987b00
15660a53c
hex458e614

72934932 has 72 divisors (see below), whose sum is σ = 206611776. Its totient is φ = 19928832.

The previous prime is 72934921. The next prime is 72934969. The reversal of 72934932 is 23943927.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10828 + ... + 16220.

It is an arithmetic number, because the mean of its divisors is an integer number (2869608).

Almost surely, 272934932 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 72934932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103305888).

72934932 is an abundant number, since it is smaller than the sum of its proper divisors (133676844).

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

72934932 is a wasteful number, since it uses less digits than its factorization.

72934932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5437 (or 5428 counting only the distinct ones).

The product of its digits is 81648, while the sum is 39.

The square root of 72934932 is about 8540.1950797391. The cubic root of 72934932 is about 417.8097086425.

The spelling of 72934932 in words is "seventy-two million, nine hundred thirty-four thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 49 69 84 92 98 138 147 161 196 276 294 322 483 588 644 966 1127 1932 2254 3381 4508 5393 6762 10786 13524 16179 21572 32358 37751 64716 75502 113253 124039 151004 226506 248078 264257 372117 453012 496156 528514 744234 792771 868273 1057028 1488468 1585542 1736546 2604819 3171084 3473092 5209638 6077911 10419276 12155822 18233733 24311644 36467466 72934932