72666825 has 48 divisors (see below), whose sum is σ = 149799936. Its totient is φ = 30196800.

The previous prime is 72666767. The next prime is 72666827. The reversal of 72666825 is 52866627.

It is not a de Polignac number, because 72666825 - 2⁶ = 72666761 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72666827) 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, 517 + ... + 12066.

It is an arithmetic number, because the mean of its divisors is an integer number (3120832).

Almost surely, 2^72666825 is an apocalyptic number.

72666825 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

72666825 is an abundant number, since it is smaller than the sum of its proper divisors (77133111).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72666825 is a wasteful number, since it uses less digits than its factorization.

72666825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12614 (or 12609 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The square root of 72666825 is about 8524.4838553428. The cubic root of 72666825 is about 417.2971273430.

The spelling of 72666825 in words is "seventy-two million, six hundred sixty-six thousand, eight hundred twenty-five".