72564150 has 24 divisors (see below), whose sum is σ = 179959464. Its totient is φ = 19350400.

The previous prime is 72564133. The next prime is 72564169. The reversal of 72564150 is 5146527.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 241731 + ... + 242030.

It is an arithmetic number, because the mean of its divisors is an integer number (7498311).

Almost surely, 2^72564150 is an apocalyptic number.

72564150 is an abundant number, since it is smaller than the sum of its proper divisors (107395314).

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

72564150 is a wasteful number, since it uses less digits than its factorization.

72564150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483776 (or 483771 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 72564150 is about 8518.4593677495. The cubic root of 72564150 is about 417.1004939264.

The spelling of 72564150 in words is "seventy-two million, five hundred sixty-four thousand, one hundred fifty".