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72803332 = 2272600119
BaseRepresentation
bin1000101011011…
…10010000000100
312001222210101201
410111232100010
5122114201312
611120232244
71542550420
oct425562004
9161883351
1072803332
1138106248
122046b684
13121107c4
149951b80
1565d1557
hex456e404

72803332 has 12 divisors (see below), whose sum is σ = 145606720. Its totient is φ = 31201416.

The previous prime is 72803323. The next prime is 72803347. The reversal of 72803332 is 23330827.

72803332 is an admirable number.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28), and also a Moran number because the ratio is a prime number: 2600119 = 72803332 / (7 + 2 + 8 + 0 + 3 + 3 + 3 + 2).

It is a self number, because there is not a number n which added to its sum of digits gives 72803332.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1300032 + ... + 1300087.

Almost surely, 272803332 is an apocalyptic number.

It is an amenable number.

72803332 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

72803332 is a wasteful number, since it uses less digits than its factorization.

72803332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2600130 (or 2600128 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

The square root of 72803332 is about 8532.4868590581. The cubic root of 72803332 is about 417.5582659785.

The spelling of 72803332 in words is "seventy-two million, eight hundred three thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 28 2600119 5200238 10400476 18200833 36401666 72803332