72164925 has 72 divisors (see below), whose sum is σ = 153281856. Its totient is φ = 32970240.

The previous prime is 72164903. The next prime is 72164927. The reversal of 72164925 is 52946127.

72164925 is a `hidden beast` number, since 7 + 2 + 1 + 649 + 2 + 5 = 666.

It is not a de Polignac number, because 72164925 - 2⁸ = 72164669 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 72164925.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72164927) 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 71 ways as a sum of consecutive naturals, for example, 41677 + ... + 43373.

Almost surely, 2^72164925 is an apocalyptic number.

72164925 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

72164925 is an abundant number, since it is smaller than the sum of its proper divisors (81116931).

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

72164925 is a wasteful number, since it uses less digits than its factorization.

72164925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1729 (or 1712 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 72164925 is about 8494.9941141828. The cubic root of 72164925 is about 416.3341685163.

The spelling of 72164925 in words is "seventy-two million, one hundred sixty-four thousand, nine hundred twenty-five".