72015529377792 has 1824 divisors, whose sum is σ = 268804310482944. Its totient is φ = 16635867955200.

The previous prime is 72015529377791. The next prime is 72015529377829. The reversal of 72015529377792 is 29777392551027.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (72015529377791) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 317249027983 + ... + 317249028209.

It is an arithmetic number, because the mean of its divisors is an integer number (147370784256).

Almost surely, 2^{72015529377792} 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 72015529377792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134402155241472).

72015529377792 is an abundant number, since it is smaller than the sum of its proper divisors (196788781105152).

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

72015529377792 is a wasteful number, since it uses less digits than its factorization.

72015529377792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 116688600, while the sum is 66.

The spelling of 72015529377792 in words is "seventy-two trillion, fifteen billion, five hundred twenty-nine million, three hundred seventy-seven thousand, seven hundred ninety-two".