72158897520 has 320 divisors, whose sum is σ = 251983872000. Its totient is φ = 18977808384.

The previous prime is 72158897513. The next prime is 72158897521. The reversal of 72158897520 is 2579885127.

72158897520 is a `hidden beast` number, since 7 + 2 + 1 + 588 + 9 + 7 + 52 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72158897521) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 100359721 + ... + 100360439.

It is an arithmetic number, because the mean of its divisors is an integer number (787449600).

Almost surely, 2^72158897520 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 72158897520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125991936000).

72158897520 is an abundant number, since it is smaller than the sum of its proper divisors (179824974480).

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

72158897520 is a wasteful number, since it uses less digits than its factorization.

72158897520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1317 (or 1305 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 54.

The spelling of 72158897520 in words is "seventy-two billion, one hundred fifty-eight million, eight hundred ninety-seven thousand, five hundred twenty".