75789270972 has 72 divisors (see below), whose sum is σ = 199055141376. Its totient is φ = 25214617008.

The previous prime is 75789270971. The next prime is 75789271079. The reversal of 75789270972 is 27907298757.

It is a super-3 number, since 3×75789270972³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75789270971) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 433813 + ... + 582899.

Almost surely, 2^75789270972 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 75789270972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99527570688).

75789270972 is an abundant number, since it is smaller than the sum of its proper divisors (123265870404).

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

75789270972 is a wasteful number, since it uses less digits than its factorization.

75789270972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149629 (or 149615 counting only the distinct ones).

The product of its (nonzero) digits is 31116960, while the sum is 63.

The spelling of 75789270972 in words is "seventy-five billion, seven hundred eighty-nine million, two hundred seventy thousand, nine hundred seventy-two".