72213850800 has 720 divisors, whose sum is σ = 310877810880. Its totient is φ = 15115714560.

The previous prime is 72213850799. The next prime is 72213850831. The reversal of 72213850800 is 805831227.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 44880396 + ... + 44882004.

Almost surely, 2^72213850800 is an apocalyptic number.

72213850800 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 72213850800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155438905440).

72213850800 is an abundant number, since it is smaller than the sum of its proper divisors (238663960080).

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

72213850800 is a wasteful number, since it uses less digits than its factorization.

72213850800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1790 (or 1776 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 72213850800 in words is "seventy-two billion, two hundred thirteen million, eight hundred fifty thousand, eight hundred".