72130734 has 48 divisors (see below), whose sum is σ = 169260000. Its totient is φ = 22068288.

The previous prime is 72130727. The next prime is 72130739. The reversal of 72130734 is 43703127.

It is a junction number, because it is equal to n+sod(n) for n = 72130698 and 72130707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72130739) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45792 + ... + 47340.

It is an arithmetic number, because the mean of its divisors is an integer number (3526250).

Almost surely, 2^72130734 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72130734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84630000).

72130734 is an abundant number, since it is smaller than the sum of its proper divisors (97129266).

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

72130734 is a wasteful number, since it uses less digits than its factorization.

72130734 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1769 (or 1766 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 72130734 is about 8492.9814552959. The cubic root of 72130734 is about 416.2684065123.

The spelling of 72130734 in words is "seventy-two million, one hundred thirty thousand, seven hundred thirty-four".