72341672880960 has 1008 divisors, whose sum is σ = 293928955407360. Its totient is φ = 16280527011840.

The previous prime is 72341672880941. The next prime is 72341672880979. The reversal of 72341672880960 is 6908827614327.

72341672880960 is a `hidden beast` number, since 7 + 2 + 341 + 6 + 7 + 288 + 0 + 9 + 6 + 0 = 666.

72341672880960 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (72341672880941) and next prime (72341672880979).

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 (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4091483320 + ... + 4091501000.

It is an arithmetic number, because the mean of its divisors is an integer number (291596185920).

Almost surely, 2^{72341672880960} is an apocalyptic number.

72341672880960 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72341672880960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146964477703680).

72341672880960 is an abundant number, since it is smaller than the sum of its proper divisors (221587282526400).

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

72341672880960 is a wasteful number, since it uses less digits than its factorization.

72341672880960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18164 (or 18144 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 72341672880960 in words is "seventy-two trillion, three hundred forty-one billion, six hundred seventy-two million, eight hundred eighty thousand, nine hundred sixty".