72292125 has 32 divisors (see below), whose sum is σ = 120916224. Its totient is φ = 38356800.

The previous prime is 72292111. The next prime is 72292133. The reversal of 72292125 is 52129227.

It is not a de Polignac number, because 72292125 - 2⁷ = 72291997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72292092 and 72292101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98259 + ... + 98991.

It is an arithmetic number, because the mean of its divisors is an integer number (3778632).

Almost surely, 2^72292125 is an apocalyptic number.

72292125 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

72292125 is a deficient number, since it is larger than the sum of its proper divisors (48624099).

72292125 is a wasteful number, since it uses less digits than its factorization.

72292125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1014 (or 1004 counting only the distinct ones).

The product of its digits is 5040, while the sum is 30.

The square root of 72292125 is about 8502.4775800939. The cubic root of 72292125 is about 416.5786391819.

The spelling of 72292125 in words is "seventy-two million, two hundred ninety-two thousand, one hundred twenty-five".