72776272100 has 72 divisors (see below), whose sum is σ = 180877464768. Its totient is φ = 24897628800.

The previous prime is 72776272091. The next prime is 72776272207. The reversal of 72776272100 is 127267727.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 209939 + ... + 435461.

Almost surely, 2^72776272100 is an apocalyptic number.

72776272100 is a gapful number since it is divisible by the number (70) 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 72776272100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90438732384).

72776272100 is an abundant number, since it is smaller than the sum of its proper divisors (108101192668).

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

72776272100 is a wasteful number, since it uses less digits than its factorization.

72776272100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226005 (or 225998 counting only the distinct ones).

The product of its (nonzero) digits is 115248, while the sum is 41.

It can be divided in two parts, 7277627 and 2100, that added together give a palindrome (7279727).

The spelling of 72776272100 in words is "seventy-two billion, seven hundred seventy-six million, two hundred seventy-two thousand, one hundred".