72091219200 has 1728 divisors, whose sum is σ = 332469387264. Its totient is φ = 13381632000.

The previous prime is 72091219177. The next prime is 72091219253. The reversal of 72091219200 is 291219027.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2325523185 + ... + 2325523215.

Almost surely, 2^72091219200 is an apocalyptic number.

72091219200 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 72091219200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166234693632).

72091219200 is an abundant number, since it is smaller than the sum of its proper divisors (260378168064).

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

72091219200 is a wasteful number, since it uses less digits than its factorization.

72091219200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 33.

The spelling of 72091219200 in words is "seventy-two billion, ninety-one million, two hundred nineteen thousand, two hundred".