72125268 has 24 divisors (see below), whose sum is σ = 168735840. Its totient is φ = 23978400.

The previous prime is 72125267. The next prime is 72125269. The reversal of 72125268 is 86252127.

It is an interprime number because it is at equal distance from previous prime (72125267) and next prime (72125269).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72125267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3058 + ... + 12393.

It is an arithmetic number, because the mean of its divisors is an integer number (7030660).

Almost surely, 2^72125268 is an apocalyptic number.

It is an amenable number.

72125268 is an abundant number, since it is smaller than the sum of its proper divisors (96610572).

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

72125268 is a wasteful number, since it uses less digits than its factorization.

72125268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15847 (or 15845 counting only the distinct ones).

The product of its digits is 13440, while the sum is 33.

The square root of 72125268 is about 8492.6596540777. The cubic root of 72125268 is about 416.2578914357.

The spelling of 72125268 in words is "seventy-two million, one hundred twenty-five thousand, two hundred sixty-eight".