972018432 has 216 divisors, whose sum is σ = 3494749440. Its totient is φ = 252426240.

The previous prime is 972018431. The next prime is 972018493. The reversal of 972018432 is 234810279.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (972018431) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 174669 + ... + 180147.

Almost surely, 2^972018432 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 972018432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1747374720).

972018432 is an abundant number, since it is smaller than the sum of its proper divisors (2522731008).

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

972018432 is a wasteful number, since it uses less digits than its factorization.

972018432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5519 (or 5502 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 972018432 is about 31177.2101381763. The cubic root of 972018432 is about 990.5844360612.

The spelling of 972018432 in words is "nine hundred seventy-two million, eighteen thousand, four hundred thirty-two".