72415184 has 40 divisors (see below), whose sum is σ = 146240640. Its totient is φ = 34707200.

The previous prime is 72415181. The next prime is 72415207. The reversal of 72415184 is 48151427.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 72415184.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72415181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37769 + ... + 39639.

It is an arithmetic number, because the mean of its divisors is an integer number (3656016).

Almost surely, 2^72415184 is an apocalyptic number.

It is an amenable number.

72415184 is an abundant number, since it is smaller than the sum of its proper divisors (73825456).

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

72415184 is a wasteful number, since it uses less digits than its factorization.

72415184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1979 (or 1973 counting only the distinct ones).

The product of its digits is 8960, while the sum is 32.

The square root of 72415184 is about 8509.7111584354. The cubic root of 72415184 is about 416.8148783315.

The spelling of 72415184 in words is "seventy-two million, four hundred fifteen thousand, one hundred eighty-four".