972724725611520 has 3520 divisors, whose sum is σ = 4156495930552320. Its totient is φ = 192799460818944.

The previous prime is 972724725611489. The next prime is 972724725611521. The reversal of 972724725611520 is 25116527427279.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972724725611521) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 440745230257 + ... + 440745232463.

Almost surely, 2^{972724725611520} 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 972724725611520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2078247965276160).

972724725611520 is an abundant number, since it is smaller than the sum of its proper divisors (3183771204940800).

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

972724725611520 is a wasteful number, since it uses less digits than its factorization.

972724725611520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2336 (or 2297 counting only the distinct ones).

The product of its (nonzero) digits is 29635200, while the sum is 60.

The spelling of 972724725611520 in words is "nine hundred seventy-two trillion, seven hundred twenty-four billion, seven hundred twenty-five million, six hundred eleven thousand, five hundred twenty".