72625971 has 32 divisors (see below), whose sum is σ = 108380160. Its totient is φ = 42890400.

The previous prime is 72625967. The next prime is 72625979. The reversal of 72625971 is 17952627.

It is not a de Polignac number, because 72625971 - 2² = 72625967 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72625979) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 325566 + ... + 325788.

It is an arithmetic number, because the mean of its divisors is an integer number (3386880).

Almost surely, 2^72625971 is an apocalyptic number.

72625971 is a gapful number since it is divisible by the number (71) formed by its first and last digit.

72625971 is a deficient number, since it is larger than the sum of its proper divisors (35754189).

72625971 is a wasteful number, since it uses less digits than its factorization.

72625971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447.

The product of its digits is 52920, while the sum is 39.

The square root of 72625971 is about 8522.0872443316. The cubic root of 72625971 is about 417.2189098404.

The spelling of 72625971 in words is "seventy-two million, six hundred twenty-five thousand, nine hundred seventy-one".