72920699447616 has 1568 divisors, whose sum is σ = 236411346124800. Its totient is φ = 22260824248320.

The previous prime is 72920699447483. The next prime is 72920699447621. The reversal of 72920699447616 is 61674499602927.

It is a happy number.

72920699447616 is a `hidden beast` number, since 7 + 2 + 9 + 2 + 0 + 69 + 94 + 476 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 524609348475 + ... + 524609348613.

Almost surely, 2^{72920699447616} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72920699447616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118205673062400).

72920699447616 is an abundant number, since it is smaller than the sum of its proper divisors (163490646677184).

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

72920699447616 is a wasteful number, since it uses less digits than its factorization.

72920699447616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 493807104, while the sum is 72.

The spelling of 72920699447616 in words is "seventy-two trillion, nine hundred twenty billion, six hundred ninety-nine million, four hundred forty-seven thousand, six hundred sixteen".