72697825 has 24 divisors (see below), whose sum is σ = 94636800. Its totient is φ = 55396880.

The previous prime is 72697811. The next prime is 72697829. The reversal of 72697825 is 52879627.

It is not a de Polignac number, because 72697825 - 2¹⁵ = 72665057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72697829) 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 23 ways as a sum of consecutive naturals, for example, 304056 + ... + 304294.

It is an arithmetic number, because the mean of its divisors is an integer number (3943200).

Almost surely, 2^72697825 is an apocalyptic number.

It is an amenable number.

72697825 is a deficient number, since it is larger than the sum of its proper divisors (21938975).

72697825 is an equidigital number, since it uses as much as digits as its factorization.

72697825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 267 counting only the distinct ones).

The product of its digits is 423360, while the sum is 46.

The square root of 72697825 is about 8526.3019533676. The cubic root of 72697825 is about 417.3564591947.

The spelling of 72697825 in words is "seventy-two million, six hundred ninety-seven thousand, eight hundred twenty-five".