975672000 has 224 divisors, whose sum is σ = 3580424640. Its totient is φ = 260121600.

The previous prime is 975671951. The next prime is 975672001. The reversal of 975672000 is 276579.

975672000 is a `hidden beast` number, since 97 + 567 + 2 + 0 + 0 + 0 = 666.

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 (975672001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 213742 + ... + 218258.

Almost surely, 2^975672000 is an apocalyptic number.

975672000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 975672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1790212320).

975672000 is an abundant number, since it is smaller than the sum of its proper divisors (2604752640).

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

975672000 is a wasteful number, since it uses less digits than its factorization.

975672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4553 (or 4527 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 975672000 is about 31235.7487504302. The cubic root of 975672000 is about 991.8240019019.

The spelling of 975672000 in words is "nine hundred seventy-five million, six hundred seventy-two thousand".