72511725 has 48 divisors (see below), whose sum is σ = 140865984. Its totient is φ = 32448000.

The previous prime is 72511723. The next prime is 72511727. The reversal of 72511725 is 52711527.

It is an interprime number because it is at equal distance from previous prime (72511723) and next prime (72511727).

It is not a de Polignac number, because 72511725 - 2¹ = 72511723 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72511692 and 72511701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72511723) 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 47 ways as a sum of consecutive naturals, for example, 7345 + ... + 14105.

It is an arithmetic number, because the mean of its divisors is an integer number (2934708).

Almost surely, 2^72511725 is an apocalyptic number.

72511725 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

72511725 is a deficient number, since it is larger than the sum of its proper divisors (68354259).

72511725 is a wasteful number, since it uses less digits than its factorization.

72511725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6798 (or 6793 counting only the distinct ones).

The product of its digits is 4900, while the sum is 30.

The square root of 72511725 is about 8515.3816708354. The cubic root of 72511725 is about 417.0000230032. Note that the first 4 decimals are identical.

The spelling of 72511725 in words is "seventy-two million, five hundred eleven thousand, seven hundred twenty-five".