972712224 has 216 divisors, whose sum is σ = 3081326976. Its totient is φ = 290822400.

The previous prime is 972712211. The next prime is 972712243. The reversal of 972712224 is 422217279.

972712224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3589209 + ... + 3589479.

Almost surely, 2^972712224 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 972712224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1540663488).

972712224 is an abundant number, since it is smaller than the sum of its proper divisors (2108614752).

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

972712224 is a wasteful number, since it uses less digits than its factorization.

972712224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 390 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 972712224 is about 31188.3347423360. The cubic root of 972712224 is about 990.8200612598.

The spelling of 972712224 in words is "nine hundred seventy-two million, seven hundred twelve thousand, two hundred twenty-four".