72724371292944 has 320 divisors, whose sum is σ = 249917147136000. Its totient is φ = 19807945597440.

The previous prime is 72724371292931. The next prime is 72724371292961. The reversal of 72724371292944 is 44929217342727.

It is a happy number.

72724371292944 is a `hidden beast` number, since 7 + 2 + 72 + 437 + 1 + 2 + 92 + 9 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

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, 1679389 + ... + 12176579.

It is an arithmetic number, because the mean of its divisors is an integer number (780991084800).

Almost surely, 2^{72724371292944} 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 72724371292944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124958573568000).

72724371292944 is an abundant number, since it is smaller than the sum of its proper divisors (177192775843056).

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

72724371292944 is a wasteful number, since it uses less digits than its factorization.

72724371292944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10497323 (or 10497311 counting only the distinct ones).

The product of its digits is 85349376, while the sum is 63.

The spelling of 72724371292944 in words is "seventy-two trillion, seven hundred twenty-four billion, three hundred seventy-one million, two hundred ninety-two thousand, nine hundred forty-four".