972352080 has 240 divisors, whose sum is σ = 3896447040. Its totient is φ = 222227712.

The previous prime is 972352079. The next prime is 972352093. The reversal of 972352080 is 80253279.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 101247 + ... + 110433.

It is an arithmetic number, because the mean of its divisors is an integer number (16235196).

Almost surely, 2^972352080 is an apocalyptic number.

972352080 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 972352080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1948223520).

972352080 is an abundant number, since it is smaller than the sum of its proper divisors (2924094960).

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

972352080 is a wasteful number, since it uses less digits than its factorization.

972352080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9223 (or 9204 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 972352080 is about 31182.5605106444. The cubic root of 972352080 is about 990.6977633729.

The spelling of 972352080 in words is "nine hundred seventy-two million, three hundred fifty-two thousand, eighty".