972725712 has 80 divisors (see below), whose sum is σ = 2877232512. Its totient is φ = 277401600.

The previous prime is 972725711. The next prime is 972725713. The reversal of 972725712 is 217527279.

It is an interprime number because it is at equal distance from previous prime (972725711) and next prime (972725713).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972725711) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 199528 + ... + 204344.

Almost surely, 2^972725712 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 972725712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1438616256).

972725712 is an abundant number, since it is smaller than the sum of its proper divisors (1904506800).

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

972725712 is a wasteful number, since it uses less digits than its factorization.

972725712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5436 (or 5430 counting only the distinct ones).

The product of its digits is 123480, while the sum is 42.

The square root of 972725712 is about 31188.5509762797. The cubic root of 972725712 is about 990.8246409353.

The spelling of 972725712 in words is "nine hundred seventy-two million, seven hundred twenty-five thousand, seven hundred twelve".