72500025 has 96 divisors (see below), whose sum is σ = 139491072. Its totient is φ = 32947200.

The previous prime is 72499997. The next prime is 72500027. The reversal of 72500025 is 52000527.

It is not a de Polignac number, because 72500025 - 2⁵ = 72499993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72499974 and 72500010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72500027) 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 95 ways as a sum of consecutive naturals, for example, 1188495 + ... + 1188555.

It is an arithmetic number, because the mean of its divisors is an integer number (1453032).

Almost surely, 2^72500025 is an apocalyptic number.

72500025 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

72500025 is a deficient number, since it is larger than the sum of its proper divisors (66991047).

72500025 is a wasteful number, since it uses less digits than its factorization.

72500025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 21.

The square root of 72500025 is about 8514.6946510136. The cubic root of 72500025 is about 416.9775936986.

The spelling of 72500025 in words is "seventy-two million, five hundred thousand, twenty-five".