972418720 has 384 divisors, whose sum is σ = 3048192000. Its totient is φ = 290820096.

The previous prime is 972418703. The next prime is 972418723. The reversal of 972418720 is 27814279.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (972418723) 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, 20689737 + ... + 20689783.

It is an arithmetic number, because the mean of its divisors is an integer number (7938000).

Almost surely, 2^972418720 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 972418720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1524096000).

972418720 is an abundant number, since it is smaller than the sum of its proper divisors (2075773280).

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

972418720 is a wasteful number, since it uses less digits than its factorization.

972418720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 40.

The square root of 972418720 is about 31183.6290383271. The cubic root of 972418720 is about 990.7203952954.

The spelling of 972418720 in words is "nine hundred seventy-two million, four hundred eighteen thousand, seven hundred twenty".