72768064 has 14 divisors (see below), whose sum is σ = 144399254. Its totient is φ = 36384000.

The previous prime is 72768061. The next prime is 72768127. The reversal of 72768064 is 46086727.

It can be written as a sum of positive squares in only one way, i.e., 70694464 + 2073600 = 8408^2 + 1440^2 .

It is a super-2 number, since 2×72768064² = 10590382276616192, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72768061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 568437 + ... + 568564.

Almost surely, 2^72768064 is an apocalyptic number.

It is an amenable number.

72768064 is a deficient number, since it is larger than the sum of its proper divisors (71631190).

72768064 is a wasteful number, since it uses less digits than its factorization.

72768064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137013 (or 1137003 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 40.

The square root of 72768064 is about 8530.4199193240. The cubic root of 72768064 is about 417.4908293969.

The spelling of 72768064 in words is "seventy-two million, seven hundred sixty-eight thousand, sixty-four".