72405116 has 24 divisors (see below), whose sum is σ = 145363680. Its totient is φ = 30912192.

The previous prime is 72405107. The next prime is 72405167. The reversal of 72405116 is 61150427.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2726 + ... + 12338.

It is an arithmetic number, because the mean of its divisors is an integer number (6056820).

Almost surely, 2^72405116 is an apocalyptic number.

It is an amenable number.

72405116 is an abundant number, since it is smaller than the sum of its proper divisors (72958564).

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

72405116 is a wasteful number, since it uses less digits than its factorization.

72405116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9893 (or 9891 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 72405116 is about 8509.1195784288. The cubic root of 72405116 is about 416.7955606209.

The spelling of 72405116 in words is "seventy-two million, four hundred five thousand, one hundred sixteen".