72311181408 has 48 divisors (see below), whose sum is σ = 210907614960. Its totient is φ = 24103726848.

The previous prime is 72311181401. The next prime is 72311181457. The reversal of 72311181408 is 80418111327.

72311181408 is a `hidden beast` number, since 7 + 231 + 1 + 18 + 1 + 408 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72311181401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41845885 + ... + 41847612.

It is an arithmetic number, because the mean of its divisors is an integer number (4393908645).

Almost surely, 2^72311181408 is an apocalyptic number.

It is an amenable number.

72311181408 is an abundant number, since it is smaller than the sum of its proper divisors (138596433552).

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

72311181408 is a wasteful number, since it uses less digits than its factorization.

72311181408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83693516 (or 83693502 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The spelling of 72311181408 in words is "seventy-two billion, three hundred eleven million, one hundred eighty-one thousand, four hundred eight".