72272793600 has 936 divisors, whose sum is σ = 313724473920. Its totient is φ = 15524167680.

The previous prime is 72272793581. The next prime is 72272793601. The reversal of 72272793600 is 639727227.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72272793601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 109670071 + ... + 109670729.

It is an arithmetic number, because the mean of its divisors is an integer number (335175720).

Almost surely, 2^72272793600 is an apocalyptic number.

72272793600 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 72272793600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156862236960).

72272793600 is an abundant number, since it is smaller than the sum of its proper divisors (241451680320).

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

72272793600 is a wasteful number, since it uses less digits than its factorization.

72272793600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 45.

The spelling of 72272793600 in words is "seventy-two billion, two hundred seventy-two million, seven hundred ninety-three thousand, six hundred".