72704331 has 32 divisors (see below), whose sum is σ = 127078400. Its totient is φ = 40201920.

The previous prime is 72704329. The next prime is 72704351. The reversal of 72704331 is 13340727.

It is not a de Polignac number, because 72704331 - 2¹ = 72704329 is a prime.

It is a super-2 number, since 2×72704331² = 10571839492315122, which contains 22 as substring.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72704295 and 72704304.

It is not an unprimeable number, because it can be changed into a prime (72704351) 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, 346 + ... + 12063.

It is an arithmetic number, because the mean of its divisors is an integer number (3971200).

Almost surely, 2^72704331 is an apocalyptic number.

72704331 is a deficient number, since it is larger than the sum of its proper divisors (54374069).

72704331 is a wasteful number, since it uses less digits than its factorization.

72704331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12456 (or 12450 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 72704331 is about 8526.6834701424. The cubic root of 72704331 is about 417.3689090863.

The spelling of 72704331 in words is "seventy-two million, seven hundred four thousand, three hundred thirty-one".