72495225 has 72 divisors (see below), whose sum is σ = 150070752. Its totient is φ = 33062400.

The previous prime is 72495223. The next prime is 72495229. The reversal of 72495225 is 52259427.

It is a happy number.

It is not a de Polignac number, because 72495225 - 2¹ = 72495223 is a prime.

It is a super-3 number, since 3×72495225³ (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 72495225.

It is not an unprimeable number, because it can be changed into a prime (72495223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 41214 + ... + 42936.

It is an arithmetic number, because the mean of its divisors is an integer number (2084316).

Almost surely, 2^72495225 is an apocalyptic number.

72495225 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

72495225 is an abundant number, since it is smaller than the sum of its proper divisors (77575527).

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

72495225 is a wasteful number, since it uses less digits than its factorization.

72495225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1767 (or 1759 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 72495225 is about 8514.4127806913. The cubic root of 72495225 is about 416.9683912345.

The spelling of 72495225 in words is "seventy-two million, four hundred ninety-five thousand, two hundred twenty-five".