72137559312 has 1120 divisors, whose sum is σ = 280822304000. Its totient is φ = 17777055744.

The previous prime is 72137559281. The next prime is 72137559317. The reversal of 72137559312 is 21395573127.

72137559312 is a `hidden beast` number, since 7 + 21 + 37 + 5 + 593 + 1 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (72137559317) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 988185708 + ... + 988185780.

It is an arithmetic number, because the mean of its divisors is an integer number (250734200).

Almost surely, 2^72137559312 is an apocalyptic number.

72137559312 is a gapful number since it is divisible by the number (72) 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 72137559312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140411152000).

72137559312 is an abundant number, since it is smaller than the sum of its proper divisors (208684744688).

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

72137559312 is a wasteful number, since it uses less digits than its factorization.

72137559312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 117 counting only the distinct ones).

The product of its digits is 396900, while the sum is 45.

The spelling of 72137559312 in words is "seventy-two billion, one hundred thirty-seven million, five hundred fifty-nine thousand, three hundred twelve".