72517505640 has 32 divisors (see below), whose sum is σ = 217552517280. Its totient is φ = 19338001472.

The previous prime is 72517505629. The next prime is 72517505651. The reversal of 72517505640 is 4650571527.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (72517505629) and next prime (72517505651).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 72517505592 and 72517505601.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 302156154 + ... + 302156393.

It is an arithmetic number, because the mean of its divisors is an integer number (6798516165).

Almost surely, 2^72517505640 is an apocalyptic number.

It is an amenable number.

72517505640 is an abundant number, since it is smaller than the sum of its proper divisors (145035011640).

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

72517505640 is a wasteful number, since it uses less digits than its factorization.

72517505640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604312561 (or 604312557 counting only the distinct ones).

The product of its (nonzero) digits is 294000, while the sum is 42.

The spelling of 72517505640 in words is "seventy-two billion, five hundred seventeen million, five hundred five thousand, six hundred forty".