975987072 has 96 divisors (see below), whose sum is σ = 2814673680. Its totient is φ = 324615168.

The previous prime is 975987059. The next prime is 975987091. The reversal of 975987072 is 270789579.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×975987072² = 1905101529422266368, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 917613 + ... + 918675.

Almost surely, 2^975987072 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 975987072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1407336840).

975987072 is an abundant number, since it is smaller than the sum of its proper divisors (1838686608).

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

975987072 is a wasteful number, since it uses less digits than its factorization.

975987072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1880 (or 1865 counting only the distinct ones).

The product of its (nonzero) digits is 2222640, while the sum is 54.

The square root of 975987072 is about 31240.7917953435. The cubic root of 975987072 is about 991.9307530574.

The spelling of 975987072 in words is "nine hundred seventy-five million, nine hundred eighty-seven thousand, seventy-two".