972120032 has 48 divisors (see below), whose sum is σ = 2082416112. Its totient is φ = 444026880.

The previous prime is 972120029. The next prime is 972120053. The reversal of 972120032 is 230021279.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 972119983 and 972120010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28307 + ... + 52397.

It is an arithmetic number, because the mean of its divisors is an integer number (43383669).

Almost surely, 2^972120032 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 972120032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1041208056).

972120032 is an abundant number, since it is smaller than the sum of its proper divisors (1110296080).

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

972120032 is a wasteful number, since it uses less digits than its factorization.

972120032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24211 (or 24203 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 972120032 is about 31178.8394909111. The cubic root of 972120032 is about 990.6189483945.

The spelling of 972120032 in words is "nine hundred seventy-two million, one hundred twenty thousand, thirty-two".