72936144 has 30 divisors (see below), whose sum is σ = 204120306. Its totient is φ = 24312000.

The previous prime is 72936113. The next prime is 72936161. The reversal of 72936144 is 44163927.

It can be written as a sum of positive squares in only one way, i.e., 72590400 + 345744 = 8520^2 + 588^2 .

It is a super-2 number, since 2×72936144² = 10639362203177472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 72936099 and 72936108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 253107 + ... + 253394.

Almost surely, 2^72936144 is an apocalyptic number.

It is an amenable number.

72936144 is an abundant number, since it is smaller than the sum of its proper divisors (131184162).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72936144 is a wasteful number, since it uses less digits than its factorization.

72936144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506515 (or 506506 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 72936144 is about 8540.2660380108. The cubic root of 72936144 is about 417.8120229545.

The spelling of 72936144 in words is "seventy-two million, nine hundred thirty-six thousand, one hundred forty-four".