72125624 has 8 divisors (see below), whose sum is σ = 135235560. Its totient is φ = 36062808.

The previous prime is 72125621. The next prime is 72125687. The reversal of 72125624 is 42652127.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72125621) 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 as a sum of consecutive naturals, namely, 4507844 + ... + 4507859.

It is an arithmetic number, because the mean of its divisors is an integer number (16904445).

Almost surely, 2^72125624 is an apocalyptic number.

It is an amenable number.

72125624 is a deficient number, since it is larger than the sum of its proper divisors (63109936).

72125624 is a wasteful number, since it uses less digits than its factorization.

72125624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9015709 (or 9015705 counting only the distinct ones).

The product of its digits is 6720, while the sum is 29.

The square root of 72125624 is about 8492.6806133282. The cubic root of 72125624 is about 416.2585762977.

The spelling of 72125624 in words is "seventy-two million, one hundred twenty-five thousand, six hundred twenty-four".