72252190080 has 1024 divisors, whose sum is σ = 304570368000. Its totient is φ = 15846727680.

The previous prime is 72252190039. The next prime is 72252190097. The reversal of 72252190080 is 8009125227.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 403643431 + ... + 403643609.

It is an arithmetic number, because the mean of its divisors is an integer number (297432000).

Almost surely, 2^72252190080 is an apocalyptic number.

72252190080 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 72252190080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152285184000).

72252190080 is an abundant number, since it is smaller than the sum of its proper divisors (232318177920).

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

72252190080 is a wasteful number, since it uses less digits than its factorization.

72252190080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 72252190080 in words is "seventy-two billion, two hundred fifty-two million, one hundred ninety thousand, eighty".