72735724134 has 48 divisors (see below), whose sum is σ = 162011884320. Its totient is φ = 23566861440.

The previous prime is 72735724129. The next prime is 72735724157. The reversal of 72735724134 is 43142753727.

72735724134 is a `hidden beast` number, since 7 + 2 + 7 + 3 + 572 + 41 + 34 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 72735724134.

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, 633682 + ... + 739610.

It is an arithmetic number, because the mean of its divisors is an integer number (3375247590).

Almost surely, 2^72735724134 is an apocalyptic number.

72735724134 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 72735724134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81005942160).

72735724134 is an abundant number, since it is smaller than the sum of its proper divisors (89276160186).

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

72735724134 is a wasteful number, since it uses less digits than its factorization.

72735724134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107005 (or 107002 counting only the distinct ones).

The product of its digits is 987840, while the sum is 45.

The spelling of 72735724134 in words is "seventy-two billion, seven hundred thirty-five million, seven hundred twenty-four thousand, one hundred thirty-four".