72288952 has 16 divisors (see below), whose sum is σ = 135901440. Its totient is φ = 36048576.

The previous prime is 72288941. The next prime is 72288973. The reversal of 72288952 is 25988227.

It is a junction number, because it is equal to n+sod(n) for n = 72288899 and 72288908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8733 + ... + 14860.

It is an arithmetic number, because the mean of its divisors is an integer number (8493840).

Almost surely, 2^72288952 is an apocalyptic number.

It is an amenable number.

72288952 is a deficient number, since it is larger than the sum of its proper divisors (63612488).

72288952 is a wasteful number, since it uses less digits than its factorization.

72288952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23982 (or 23978 counting only the distinct ones).

The product of its digits is 161280, while the sum is 43.

The square root of 72288952 is about 8502.2909853756. The cubic root of 72288952 is about 416.5725443578.

The spelling of 72288952 in words is "seventy-two million, two hundred eighty-eight thousand, nine hundred fifty-two".