72941253840 has 640 divisors, whose sum is σ = 325512499200. Its totient is φ = 14579066880.

The previous prime is 72941253829. The next prime is 72941253883. The reversal of 72941253840 is 4835214927.

72941253840 is a `hidden beast` number, since 72 + 9 + 4 + 1 + 2 + 538 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3724875 + ... + 3744405.

It is an arithmetic number, because the mean of its divisors is an integer number (508613280).

Almost surely, 2^72941253840 is an apocalyptic number.

72941253840 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 72941253840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162756249600).

72941253840 is an abundant number, since it is smaller than the sum of its proper divisors (252571245360).

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

72941253840 is a wasteful number, since it uses less digits than its factorization.

72941253840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19592 (or 19580 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 72941253840 in words is "seventy-two billion, nine hundred forty-one million, two hundred fifty-three thousand, eight hundred forty".