72632625 has 64 divisors (see below), whose sum is σ = 133346304. Its totient is φ = 34886400.

The previous prime is 72632621. The next prime is 72632627. The reversal of 72632625 is 52623627.

It is a happy number.

It is not a de Polignac number, because 72632625 - 2² = 72632621 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (72632621) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 228967 + ... + 229283.

It is an arithmetic number, because the mean of its divisors is an integer number (2083536).

Almost surely, 2^72632625 is an apocalyptic number.

72632625 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

72632625 is a deficient number, since it is larger than the sum of its proper divisors (60713679).

72632625 is a wasteful number, since it uses less digits than its factorization.

72632625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 385 counting only the distinct ones).

The product of its digits is 30240, while the sum is 33.

The square root of 72632625 is about 8522.4776327075. The cubic root of 72632625 is about 417.2316513331.

The spelling of 72632625 in words is "seventy-two million, six hundred thirty-two thousand, six hundred twenty-five".