975173472 has 384 divisors, whose sum is σ = 3567513600. Its totient is φ = 252315648.

The previous prime is 975173471. The next prime is 975173509. The reversal of 975173472 is 274371579.

975173472 is a `hidden beast` number, since 9 + 7 + 5 + 173 + 472 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (975173471) 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, 6211218 + ... + 6211374.

It is an arithmetic number, because the mean of its divisors is an integer number (9290400).

Almost surely, 2^975173472 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 975173472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1783756800).

975173472 is an abundant number, since it is smaller than the sum of its proper divisors (2592340128).

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

975173472 is a wasteful number, since it uses less digits than its factorization.

975173472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 261 counting only the distinct ones).

The product of its digits is 370440, while the sum is 45.

The square root of 975173472 is about 31227.7676435572. The cubic root of 975173472 is about 991.6550461208.

The spelling of 975173472 in words is "nine hundred seventy-five million, one hundred seventy-three thousand, four hundred seventy-two".