72508825 has 12 divisors (see below), whose sum is σ = 95200380. Its totient is φ = 54594560.

The previous prime is 72508801. The next prime is 72508829. The reversal of 72508825 is 52880527.

It can be written as a sum of positive squares in 6 ways, for example, as 1545049 + 70963776 = 1243^2 + 8424^2 .

It is not a de Polignac number, because 72508825 - 2¹⁵ = 72476057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72508829) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84880 + ... + 85729.

It is an arithmetic number, because the mean of its divisors is an integer number (7933365).

Almost surely, 2^72508825 is an apocalyptic number.

It is an amenable number.

72508825 is a deficient number, since it is larger than the sum of its proper divisors (22691555).

72508825 is a wasteful number, since it uses less digits than its factorization.

72508825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170636 (or 170631 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 37.

The square root of 72508825 is about 8515.2113890379. The cubic root of 72508825 is about 416.9944638278.

The spelling of 72508825 in words is "seventy-two million, five hundred eight thousand, eight hundred twenty-five".