72049723440 has 80 divisors (see below), whose sum is σ = 223399392000. Its totient is φ = 19209367296.

The previous prime is 72049723429. The next prime is 72049723477. The reversal of 72049723440 is 4432794027.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 72049723392 and 72049723401.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1272861 + ... + 1328259.

It is an arithmetic number, because the mean of its divisors is an integer number (2792492400).

Almost surely, 2^72049723440 is an apocalyptic number.

It is an amenable number.

72049723440 is an abundant number, since it is smaller than the sum of its proper divisors (151349668560).

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

72049723440 is a wasteful number, since it uses less digits than its factorization.

72049723440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60834 (or 60828 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 42.

The spelling of 72049723440 in words is "seventy-two billion, forty-nine million, seven hundred twenty-three thousand, four hundred forty".