72257771040 has 1536 divisors, whose sum is σ = 317597220864. Its totient is φ = 13377208320.

The previous prime is 72257771011. The next prime is 72257771051. The reversal of 72257771040 is 4017775227.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 72257770983 and 72257771001.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 989832444 + ... + 989832516.

It is an arithmetic number, because the mean of its divisors is an integer number (206769024).

Almost surely, 2^72257771040 is an apocalyptic number.

72257771040 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 72257771040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158798610432).

72257771040 is an abundant number, since it is smaller than the sum of its proper divisors (245339449824).

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

72257771040 is a wasteful number, since it uses less digits than its factorization.

72257771040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 192080, while the sum is 42.

The spelling of 72257771040 in words is "seventy-two billion, two hundred fifty-seven million, seven hundred seventy-one thousand, forty".