72406179 has 24 divisors (see below), whose sum is σ = 113106240. Its totient is φ = 44460288.

The previous prime is 72406177. The next prime is 72406181. The reversal of 72406179 is 97160427.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (72406177) and next prime (72406181).

It is not a de Polignac number, because 72406179 - 2¹ = 72406177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72406177) 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 23 ways as a sum of consecutive naturals, for example, 2157 + ... + 12225.

It is an arithmetic number, because the mean of its divisors is an integer number (4712760).

Almost surely, 2^72406179 is an apocalyptic number.

72406179 is a deficient number, since it is larger than the sum of its proper divisors (40700061).

72406179 is a wasteful number, since it uses less digits than its factorization.

72406179 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10139 (or 10136 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 72406179 is about 8509.1820405959. The cubic root of 72406179 is about 416.7976003088.

The spelling of 72406179 in words is "seventy-two million, four hundred six thousand, one hundred seventy-nine".