72801824 has 12 divisors (see below), whose sum is σ = 143328654. Its totient is φ = 36400896.

The previous prime is 72801793. The next prime is 72801887. The reversal of 72801824 is 42810827.

It can be written as a sum of positive squares in only one way, i.e., 50410000 + 22391824 = 7100^2 + 4732^2 .

It is a Harshad number since it is a multiple of its sum of digits (32), and also a Moran number because the ratio is a prime number: 2275057 = 72801824 / (7 + 2 + 8 + 0 + 1 + 8 + 2 + 4).

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1137497 + ... + 1137560.

Almost surely, 2^72801824 is an apocalyptic number.

It is an amenable number.

72801824 is a deficient number, since it is larger than the sum of its proper divisors (70526830).

72801824 is a wasteful number, since it uses less digits than its factorization.

72801824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2275067 (or 2275059 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 32.

The square root of 72801824 is about 8532.3984904598. The cubic root of 72801824 is about 417.5553829502. Note that the first 3 decimals are identical.

The spelling of 72801824 in words is "seventy-two million, eight hundred one thousand, eight hundred twenty-four".