72713350512 has 640 divisors, whose sum is σ = 251183923200. Its totient is φ = 19894118400.

The previous prime is 72713350511. The next prime is 72713350513. The reversal of 72713350512 is 21505331727.

It is a happy number.

72713350512 is a `hidden beast` number, since 7 + 2 + 7 + 133 + 5 + 0 + 512 = 666.

It is an interprime number because it is at equal distance from previous prime (72713350511) and next prime (72713350513).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72713350511) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 232310868 + ... + 232311180.

It is an arithmetic number, because the mean of its divisors is an integer number (392474880).

Almost surely, 2^72713350512 is an apocalyptic number.

72713350512 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 72713350512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125591961600).

72713350512 is an abundant number, since it is smaller than the sum of its proper divisors (178470572688).

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

72713350512 is a wasteful number, since it uses less digits than its factorization.

72713350512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The spelling of 72713350512 in words is "seventy-two billion, seven hundred thirteen million, three hundred fifty thousand, five hundred twelve".