72634125 has 32 divisors (see below), whose sum is σ = 125049600. Its totient is φ = 37396800.

The previous prime is 72634117. The next prime is 72634127. The reversal of 72634125 is 52143627.

It is not a de Polignac number, because 72634125 - 2³ = 72634117 is a prime.

It is a super-2 number, since 2×72634125² = 10551432229031250, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 72634092 and 72634101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72634127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7536 + ... + 14214.

It is an arithmetic number, because the mean of its divisors is an integer number (3907800).

Almost surely, 2^72634125 is an apocalyptic number.

72634125 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

72634125 is a deficient number, since it is larger than the sum of its proper divisors (52415475).

72634125 is a wasteful number, since it uses less digits than its factorization.

72634125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6726 (or 6716 counting only the distinct ones).

The product of its digits is 10080, while the sum is 30.

The square root of 72634125 is about 8522.5656348309. The cubic root of 72634125 is about 417.2345235188.

The spelling of 72634125 in words is "seventy-two million, six hundred thirty-four thousand, one hundred twenty-five".