72742475520 has 1152 divisors, whose sum is σ = 311525222400. Its totient is φ = 15836774400.

The previous prime is 72742475513. The next prime is 72742475527. The reversal of 72742475520 is 2557424727.

72742475520 is a `hidden beast` number, since 7 + 2 + 74 + 24 + 7 + 552 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (72742475513) and next prime (72742475527).

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72742475527) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 202625101 + ... + 202625459.

It is an arithmetic number, because the mean of its divisors is an integer number (270421200).

Almost surely, 2^72742475520 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72742475520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155762611200).

72742475520 is an abundant number, since it is smaller than the sum of its proper divisors (238782746880).

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

72742475520 is a wasteful number, since it uses less digits than its factorization.

72742475520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 1097600, while the sum is 45.

The spelling of 72742475520 in words is "seventy-two billion, seven hundred forty-two million, four hundred seventy-five thousand, five hundred twenty".