972192000 has 576 divisors, whose sum is σ = 3749840640. Its totient is φ = 221184000.

The previous prime is 972191999. The next prime is 972192007. The reversal of 972192000 is 291279.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (972192007) 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, 23711980 + ... + 23712020.

It is an arithmetic number, because the mean of its divisors is an integer number (6510140).

Almost surely, 2^972192000 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 972192000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1874920320).

972192000 is an abundant number, since it is smaller than the sum of its proper divisors (2777648640).

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

972192000 is a wasteful number, since it uses less digits than its factorization.

972192000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 30.

The square root of 972192000 is about 31179.9935856312. The cubic root of 972192000 is about 990.6433936286.

The spelling of 972192000 in words is "nine hundred seventy-two million, one hundred ninety-two thousand".