72735268 has 12 divisors (see below), whose sum is σ = 133986160. Its totient is φ = 34453512.

The previous prime is 72735263. The next prime is 72735301. The reversal of 72735268 is 86253727.

It is a super-2 number, since 2×72735268² = 10580838422063648, which contains 22 as substring.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 72735268.

It is not an unprimeable number, because it can be changed into a prime (72735263) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 478446 + ... + 478597.

Almost surely, 2^72735268 is an apocalyptic number.

It is an amenable number.

72735268 is a deficient number, since it is larger than the sum of its proper divisors (61250892).

72735268 is a wasteful number, since it uses less digits than its factorization.

72735268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957066 (or 957064 counting only the distinct ones).

The product of its digits is 141120, while the sum is 40.

The square root of 72735268 is about 8528.4974057568. The cubic root of 72735268 is about 417.4281000164.

The spelling of 72735268 in words is "seventy-two million, seven hundred thirty-five thousand, two hundred sixty-eight".