72662476320 has 432 divisors, whose sum is σ = 295491065688. Its totient is φ = 16202833920.

The previous prime is 72662476297. The next prime is 72662476363. The reversal of 72662476320 is 2367426627.

72662476320 is a `hidden beast` number, since 7 + 2 + 6 + 6 + 2 + 4 + 7 + 632 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 42457426704 + 30205049616 = 206052^2 + 173796^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2880402 + ... + 2905518.

Almost surely, 2^72662476320 is an apocalyptic number.

72662476320 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72662476320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147745532844).

72662476320 is an abundant number, since it is smaller than the sum of its proper divisors (222828589368).

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

72662476320 is a wasteful number, since it uses less digits than its factorization.

72662476320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25193 (or 25175 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 72662476320 in words is "seventy-two billion, six hundred sixty-two million, four hundred seventy-six thousand, three hundred twenty".