972145944 has 288 divisors, whose sum is σ = 3485664000. Its totient is φ = 238930560.

The previous prime is 972145939. The next prime is 972145973. The reversal of 972145944 is 449541279.

972145944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×972145944² = 1890135472871302272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 972145944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1158277 + ... + 1159115.

It is an arithmetic number, because the mean of its divisors is an integer number (12103000).

Almost surely, 2^972145944 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 972145944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1742832000).

972145944 is an abundant number, since it is smaller than the sum of its proper divisors (2513518056).

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

972145944 is a wasteful number, since it uses less digits than its factorization.

972145944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899 (or 881 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 972145944 is about 31179.2550263793. The cubic root of 972145944 is about 990.6277500134.

The spelling of 972145944 in words is "nine hundred seventy-two million, one hundred forty-five thousand, nine hundred forty-four".