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72740322 = 23319312287
BaseRepresentation
bin1000101010111…
…10110111100010
312001212120222000
410111132313202
5122110142242
611115024430
71542165624
oct425366742
9161776860
1072740322
1138072976
122043b116
13120bac15
149936c14
1565bca4c
hex455ede2

72740322 has 64 divisors (see below), whose sum is σ = 175718400. Its totient is φ = 22219920.

The previous prime is 72740321. The next prime is 72740347. The reversal of 72740322 is 22304727.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (72740321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30663 + ... + 32949.

It is an arithmetic number, because the mean of its divisors is an integer number (2745600).

Almost surely, 272740322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72740322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87859200).

72740322 is an abundant number, since it is smaller than the sum of its proper divisors (102978078).

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

72740322 is a wasteful number, since it uses less digits than its factorization.

72740322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2348 (or 2342 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 72740322 is about 8528.7937013390. The cubic root of 72740322 is about 417.4377681036.

The spelling of 72740322 in words is "seventy-two million, seven hundred forty thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 19 27 31 38 54 57 62 93 114 171 186 279 342 513 558 589 837 1026 1178 1674 1767 2287 3534 4574 5301 6861 10602 13722 15903 20583 31806 41166 43453 61749 70897 86906 123498 130359 141794 212691 260718 391077 425382 638073 782154 1173231 1276146 1347043 1914219 2346462 2694086 3828438 4041129 8082258 12123387 24246774 36370161 72740322