72237825 has 144 divisors (see below), whose sum is σ = 155990016. Its totient is φ = 32788800.

The previous prime is 72237793. The next prime is 72237827. The reversal of 72237825 is 52873227.

It is a happy number.

It is not a de Polignac number, because 72237825 - 2⁵ = 72237793 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72237825.

It is not an unprimeable number, because it can be changed into a prime (72237827) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1536952 + ... + 1536998.

It is an arithmetic number, because the mean of its divisors is an integer number (1083264).

Almost surely, 2^72237825 is an apocalyptic number.

72237825 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

72237825 is an abundant number, since it is smaller than the sum of its proper divisors (83752191).

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

72237825 is a wasteful number, since it uses less digits than its factorization.

72237825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 89 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 72237825 is about 8499.2837933558. The cubic root of 72237825 is about 416.4743129916.

The spelling of 72237825 in words is "seventy-two million, two hundred thirty-seven thousand, eight hundred twenty-five".