72935321 has 12 divisors (see below), whose sum is σ = 78580476. Its totient is φ = 67461120.

The previous prime is 72935297. The next prime is 72935333. The reversal of 72935321 is 12353927.

It can be written as a sum of positive squares in 6 ways, for example, as 6431296 + 66504025 = 2536^2 + 8155^2 .

It is not a de Polignac number, because 72935321 - 2⁶ = 72935257 is a prime.

It is a super-2 number, since 2×72935321² = 10639122098746082, which contains 22 as substring.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72935341) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62681 + ... + 63833.

It is an arithmetic number, because the mean of its divisors is an integer number (6548373).

Almost surely, 2^72935321 is an apocalyptic number.

It is an amenable number.

72935321 is a deficient number, since it is larger than the sum of its proper divisors (5645155).

72935321 is a wasteful number, since it uses less digits than its factorization.

72935321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1292 (or 1231 counting only the distinct ones).

The product of its digits is 11340, while the sum is 32.

The square root of 72935321 is about 8540.2178543641. The cubic root of 72935321 is about 417.8104514401.

The spelling of 72935321 in words is "seventy-two million, nine hundred thirty-five thousand, three hundred twenty-one".