72500406 has 32 divisors (see below), whose sum is σ = 163641600. Its totient is φ = 21211680.

The previous prime is 72500401. The next prime is 72500429. The reversal of 72500406 is 60400527.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72500401) 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 15 ways as a sum of consecutive naturals, for example, 17026 + ... + 20853.

It is an arithmetic number, because the mean of its divisors is an integer number (5113800).

Almost surely, 2^72500406 is an apocalyptic number.

72500406 is an abundant number, since it is smaller than the sum of its proper divisors (91141194).

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

72500406 is a wasteful number, since it uses less digits than its factorization.

72500406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37924.

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 72500406 is about 8514.7170240707. The cubic root of 72500406 is about 416.9783241268.

The spelling of 72500406 in words is "seventy-two million, five hundred thousand, four hundred six".