72279744040 has 128 divisors (see below), whose sum is σ = 192792188160. Its totient is φ = 23873439744.

The previous prime is 72279744037. The next prime is 72279744077. The reversal of 72279744040 is 4044797227.

It is a super-2 number, since 2×72279744040² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 837802 + ... + 920038.

It is an arithmetic number, because the mean of its divisors is an integer number (1506188970).

Almost surely, 2^72279744040 is an apocalyptic number.

72279744040 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 72279744040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96396094080).

72279744040 is an abundant number, since it is smaller than the sum of its proper divisors (120512444120).

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

72279744040 is a wasteful number, since it uses less digits than its factorization.

72279744040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82371 (or 82367 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 46.

The spelling of 72279744040 in words is "seventy-two billion, two hundred seventy-nine million, seven hundred forty-four thousand, forty".