72748831680 has 672 divisors, whose sum is σ = 311031916416. Its totient is φ = 15224537088.

The previous prime is 72748831657. The next prime is 72748831691. The reversal of 72748831680 is 8613884727.

It is a happy number.

72748831680 is a `hidden beast` number, since 72 + 7 + 488 + 3 + 16 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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, 12677772 + ... + 12683508.

Almost surely, 2^72748831680 is an apocalyptic number.

72748831680 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 72748831680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155515958208).

72748831680 is an abundant number, since it is smaller than the sum of its proper divisors (238283084736).

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

72748831680 is a wasteful number, since it uses less digits than its factorization.

72748831680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5821 (or 5808 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 72748831680 in words is "seventy-two billion, seven hundred forty-eight million, eight hundred thirty-one thousand, six hundred eighty".