72137834496 has 552 divisors, whose sum is σ = 267764335440. Its totient is φ = 19025362944.

The previous prime is 72137834473. The next prime is 72137834507. The reversal of 72137834496 is 69443873127.

72137834496 is a `hidden beast` number, since 72 + 1 + 3 + 7 + 83 + 4 + 496 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5549064186 + ... + 5549064198.

Almost surely, 2^72137834496 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 72137834496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133882167720).

72137834496 is an abundant number, since it is smaller than the sum of its proper divisors (195626500944).

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

72137834496 is an frugal number, since it uses more digits than its factorization.

72137834496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 25 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 54.

The spelling of 72137834496 in words is "seventy-two billion, one hundred thirty-seven million, eight hundred thirty-four thousand, four hundred ninety-six".