972207360 has 180 divisors, whose sum is σ = 3479106708. Its totient is φ = 259227648.

The previous prime is 972207359. The next prime is 972207391. The reversal of 972207360 is 63702279.

972207360 is a `hidden beast` number, since 97 + 2 + 207 + 360 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 215737344 + 756470016 = 14688^2 + 27504^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 98992 + ... + 108368.

Almost surely, 2^972207360 is an apocalyptic number.

972207360 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 972207360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1739553354).

972207360 is an abundant number, since it is smaller than the sum of its proper divisors (2506899348).

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

972207360 is an equidigital number, since it uses as much as digits as its factorization.

972207360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9410 (or 9387 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 972207360 is about 31180.2398964472. The cubic root of 972207360 is about 990.6486107745.

The spelling of 972207360 in words is "nine hundred seventy-two million, two hundred seven thousand, three hundred sixty".