72426461560020 has 84 divisors (see below), whose sum is σ = 228039036011220. Its totient is φ = 19313723078784.

The previous prime is 72426461560003. The next prime is 72426461560031. The reversal of 72426461560020 is 2006516462427.

72426461560020 is a `hidden beast` number, since 7 + 2 + 4 + 2 + 6 + 4 + 6 + 15 + 600 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 55849854172176 + 16576607387844 = 7473276^2 + 4071438^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2483746105 + ... + 2483775264.

It is an arithmetic number, because the mean of its divisors is an integer number (2714750428705).

Almost surely, 2^{72426461560020} is an apocalyptic number.

It is an amenable number.

72426461560020 is an abundant number, since it is smaller than the sum of its proper divisors (155612574451200).

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

72426461560020 is a wasteful number, since it uses less digits than its factorization.

72426461560020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4967521396 (or 4967521379 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 72426461560020 in words is "seventy-two trillion, four hundred twenty-six billion, four hundred sixty-one million, five hundred sixty thousand, twenty".