72654125 has 32 divisors (see below), whose sum is σ = 97314048. Its totient is φ = 54014400.

The previous prime is 72654121. The next prime is 72654137. The reversal of 72654125 is 52145627.

It is not a de Polignac number, because 72654125 - 2² = 72654121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72654091 and 72654100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72654121) 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, 106034 + ... + 106716.

It is an arithmetic number, because the mean of its divisors is an integer number (3041064).

Almost surely, 2^72654125 is an apocalyptic number.

It is an amenable number.

72654125 is a deficient number, since it is larger than the sum of its proper divisors (24659923).

72654125 is a wasteful number, since it uses less digits than its factorization.

72654125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 748 counting only the distinct ones).

The product of its digits is 16800, while the sum is 32.

The square root of 72654125 is about 8523.7389096570. The cubic root of 72654125 is about 417.2728155506.

The spelling of 72654125 in words is "seventy-two million, six hundred fifty-four thousand, one hundred twenty-five".