72471951949824 has 960 divisors, whose sum is σ = 258669094118400. Its totient is φ = 19613761929216.

The previous prime is 72471951949807. The next prime is 72471951949897. The reversal of 72471951949824 is 42894915917427.

72471951949824 is a `hidden beast` number, since 7 + 2 + 4 + 7 + 19 + 519 + 4 + 98 + 2 + 4 = 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 63 ways as a sum of consecutive naturals, for example, 4759429699 + ... + 4759444925.

It is an arithmetic number, because the mean of its divisors is an integer number (269446973040).

Almost surely, 2^{72471951949824} 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 72471951949824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129334547059200).

72471951949824 is an abundant number, since it is smaller than the sum of its proper divisors (186197142168576).

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

72471951949824 is a wasteful number, since it uses less digits than its factorization.

72471951949824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15353 (or 15321 counting only the distinct ones).

The product of its digits is 365783040, while the sum is 72.

The spelling of 72471951949824 in words is "seventy-two trillion, four hundred seventy-one billion, nine hundred fifty-one million, nine hundred forty-nine thousand, eight hundred twenty-four".