952947072 has 256 divisors, whose sum is σ = 3507494400. Its totient is φ = 247449600.

The previous prime is 952947041. The next prime is 952947077. The reversal of 952947072 is 270749259.

952947072 is a `hidden beast` number, since 95 + 29 + 470 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (952947077) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 264322 + ... + 267902.

It is an arithmetic number, because the mean of its divisors is an integer number (13701150).

Almost surely, 2^952947072 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 952947072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1753747200).

952947072 is an abundant number, since it is smaller than the sum of its proper divisors (2554547328).

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

952947072 is a wasteful number, since it uses less digits than its factorization.

952947072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3622 (or 3604 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 952947072 is about 30869.8408159161. The cubic root of 952947072 is about 984.0630536633.

The spelling of 952947072 in words is "nine hundred fifty-two million, nine hundred forty-seven thousand, seventy-two".