72070922880 has 1024 divisors, whose sum is σ = 292913971200. Its totient is φ = 16796160000.

The previous prime is 72070922857. The next prime is 72070922893. The reversal of 72070922880 is 8822907027.

It is a happy number.

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

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, 477290805 + ... + 477290955.

It is an arithmetic number, because the mean of its divisors is an integer number (286048800).

Almost surely, 2^72070922880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72070922880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146456985600).

72070922880 is an abundant number, since it is smaller than the sum of its proper divisors (220843048320).

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

72070922880 is a wasteful number, since it uses less digits than its factorization.

72070922880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 72070922880 in words is "seventy-two billion, seventy million, nine hundred twenty-two thousand, eight hundred eighty".