72727018560 has 224 divisors, whose sum is σ = 293217112320. Its totient is φ = 16623304704.

The previous prime is 72727018549. The next prime is 72727018571. The reversal of 72727018560 is 6581072727.

72727018560 is a `hidden beast` number, since 7 + 2 + 7 + 2 + 70 + 18 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (72727018549) and next prime (72727018571).

It is a tau number, because it is divible by the number of its divisors (224).

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

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, 540769 + ... + 661728.

Almost surely, 2^72727018560 is an apocalyptic number.

72727018560 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

72727018560 is an abundant number, since it is smaller than the sum of its proper divisors (220490093760).

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

72727018560 is a wasteful number, since it uses less digits than its factorization.

72727018560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1202530 (or 1202514 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The spelling of 72727018560 in words is "seventy-two billion, seven hundred twenty-seven million, eighteen thousand, five hundred sixty".