72694147680 has 576 divisors, whose sum is σ = 319630026240. Its totient is φ = 15104517120.

The previous prime is 72694147667. The next prime is 72694147699. The reversal of 72694147680 is 8674149627.

72694147680 is a `hidden beast` number, since 7 + 2 + 6 + 94 + 1 + 476 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3649107 + ... + 3668973.

It is an arithmetic number, because the mean of its divisors is an integer number (554913240).

Almost surely, 2^72694147680 is an apocalyptic number.

72694147680 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 72694147680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159815013120).

72694147680 is an abundant number, since it is smaller than the sum of its proper divisors (246935878560).

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

72694147680 is a wasteful number, since it uses less digits than its factorization.

72694147680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19920 (or 19895 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 72694147680 in words is "seventy-two billion, six hundred ninety-four million, one hundred forty-seven thousand, six hundred eighty".