72134142084 has 135 divisors (see below), whose sum is σ = 193618271847. Its totient is φ = 23417852976.

The previous prime is 72134142071. The next prime is 72134142121. The reversal of 72134142084 is 48024143127.

The square root of 72134142084 is 268578.

It is a perfect power (a square), and thus also a powerful number.

72134142084 is a `hidden beast` number, since 7 + 213 + 414 + 20 + 8 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 207879199 + ... + 207879545.

Almost surely, 2^72134142084 is an apocalyptic number.

72134142084 is the 268578-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72134142084

72134142084 is an abundant number, since it is smaller than the sum of its proper divisors (121484129763).

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

72134142084 is an equidigital number, since it uses as much as digits as its factorization.

72134142084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

Multiplying 72134142084 by its sum of digits (36), we get a square (2596829115024 = 1611468²).

72134142084 divided by its sum of digits (36) gives a square (2003726169 = 44763²).

The spelling of 72134142084 in words is "seventy-two billion, one hundred thirty-four million, one hundred forty-two thousand, eighty-four".