72737024976 has 640 divisors, whose sum is σ = 277182259200. Its totient is φ = 17680343040.

The previous prime is 72737024951. The next prime is 72737024977. The reversal of 72737024976 is 67942073727.

72737024976 is a `hidden beast` number, since 7 + 27 + 370 + 249 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72737024977) 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, 165687765 + ... + 165688203.

It is an arithmetic number, because the mean of its divisors is an integer number (433097280).

Almost surely, 2^72737024976 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 72737024976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138591129600).

72737024976 is an abundant number, since it is smaller than the sum of its proper divisors (204445234224).

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

72737024976 is a wasteful number, since it uses less digits than its factorization.

72737024976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 6223392, while the sum is 54.

The spelling of 72737024976 in words is "seventy-two billion, seven hundred thirty-seven million, twenty-four thousand, nine hundred seventy-six".