72975100000 has 432 divisors, whose sum is σ = 203963226768. Its totient is φ = 25660800000.

The previous prime is 72975099961. The next prime is 72975100001. The reversal of 72975100000 is 157927.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72975100001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 447699919 + ... + 447700081.

It is an arithmetic number, because the mean of its divisors is an integer number (472137099).

Almost surely, 2^72975100000 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 72975100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101981613384).

72975100000 is an abundant number, since it is smaller than the sum of its proper divisors (130988126768).

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

72975100000 is a wasteful number, since it uses less digits than its factorization.

72975100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 31.

Adding to 72975100000 its reverse (157927), we get a palindrome (72975257927).

The spelling of 72975100000 in words is "seventy-two billion, nine hundred seventy-five million, one hundred thousand".