72972627 has 16 divisors (see below), whose sum is σ = 119750400. Its totient is φ = 38490912.

The previous prime is 72972589. The next prime is 72972643. The reversal of 72972627 is 72627927.

It is not a de Polignac number, because 72972627 - 2¹⁶ = 72907091 is a prime.

It is a super-2 number, since 2×72972627² = 10650008582562258, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72972127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133377 + ... + 133922.

It is an arithmetic number, because the mean of its divisors is an integer number (7484400).

Almost surely, 2^72972627 is an apocalyptic number.

72972627 is a deficient number, since it is larger than the sum of its proper divisors (46777773).

72972627 is a wasteful number, since it uses less digits than its factorization.

72972627 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267322.

The product of its digits is 148176, while the sum is 42.

The square root of 72972627 is about 8542.4017114626. The cubic root of 72972627 is about 417.8816751843.

The spelling of 72972627 in words is "seventy-two million, nine hundred seventy-two thousand, six hundred twenty-seven".