72406776 has 32 divisors (see below), whose sum is σ = 194942160. Its totient is φ = 22278912.

The previous prime is 72406771. The next prime is 72406781. The reversal of 72406776 is 67760427.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (72406771) and next prime (72406781).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72406771) 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, 115725 + ... + 116348.

Almost surely, 2^72406776 is an apocalyptic number.

It is an amenable number.

72406776 is an abundant number, since it is smaller than the sum of its proper divisors (122535384).

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

72406776 is a wasteful number, since it uses less digits than its factorization.

72406776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232095 (or 232091 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 39.

The square root of 72406776 is about 8509.2171202761. The cubic root of 72406776 is about 416.7987458256.

The spelling of 72406776 in words is "seventy-two million, four hundred six thousand, seven hundred seventy-six".