75315387972 has 96 divisors (see below), whose sum is σ = 201881594880. Its totient is φ = 21613115520.

The previous prime is 75315387937. The next prime is 75315387989. The reversal of 75315387972 is 27978351357.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9217833 + ... + 9225999.

It is an arithmetic number, because the mean of its divisors is an integer number (2102933280).

Almost surely, 2^75315387972 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 75315387972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100940797440).

75315387972 is an abundant number, since it is smaller than the sum of its proper divisors (126566206908).

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

75315387972 is a wasteful number, since it uses less digits than its factorization.

75315387972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11881 (or 11879 counting only the distinct ones).

The product of its digits is 11113200, while the sum is 57.

The spelling of 75315387972 in words is "seventy-five billion, three hundred fifteen million, three hundred eighty-seven thousand, nine hundred seventy-two".