972047520 has 192 divisors, whose sum is σ = 3519936000. Its totient is φ = 250242048.

The previous prime is 972047519. The next prime is 972047579. The reversal of 972047520 is 25740279.

972047520 is a `hidden beast` number, since 97 + 2 + 0 + 47 + 520 = 666.

It is a super-2 number, since 2×972047520² = 1889752762276300800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121401 + ... + 129159.

It is an arithmetic number, because the mean of its divisors is an integer number (18333000).

Almost surely, 2^972047520 is an apocalyptic number.

972047520 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 972047520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1759968000).

972047520 is an abundant number, since it is smaller than the sum of its proper divisors (2547888480).

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

972047520 is a wasteful number, since it uses less digits than its factorization.

972047520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7812 (or 7798 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 972047520 is about 31177.6766292808. The cubic root of 972047520 is about 990.5943171608.

Adding to 972047520 its reverse (25740279), we get a palindrome (997787799).

The spelling of 972047520 in words is "nine hundred seventy-two million, forty-seven thousand, five hundred twenty".