72414590976 has 1008 divisors, whose sum is σ = 275210142480. Its totient is φ = 18632540160.

The previous prime is 72414590951. The next prime is 72414590977. The reversal of 72414590976 is 67909541427.

72414590976 is a `hidden beast` number, since 7 + 2 + 41 + 4 + 590 + 9 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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 (72414590977) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1766209516 + ... + 1766209556.

It is an arithmetic number, because the mean of its divisors is an integer number (273025935).

Almost surely, 2^72414590976 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 72414590976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137605071240).

72414590976 is an abundant number, since it is smaller than the sum of its proper divisors (202795551504).

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

72414590976 is an equidigital number, since it uses as much as digits as its factorization.

72414590976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 72414590976 in words is "seventy-two billion, four hundred fourteen million, five hundred ninety thousand, nine hundred seventy-six".