72131334 has 64 divisors (see below), whose sum is σ = 167650560. Its totient is φ = 20459520.

The previous prime is 72131333. The next prime is 72131363. The reversal of 72131334 is 43313127.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72131333) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121342 + ... + 121934.

It is an arithmetic number, because the mean of its divisors is an integer number (2619540).

Almost surely, 2^72131334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72131334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83825280).

72131334 is an abundant number, since it is smaller than the sum of its proper divisors (95519226).

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

72131334 is a wasteful number, since it uses less digits than its factorization.

72131334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725.

The product of its digits is 1512, while the sum is 24.

The square root of 72131334 is about 8493.0167785069. The cubic root of 72131334 is about 416.2695607145.

The spelling of 72131334 in words is "seventy-two million, one hundred thirty-one thousand, three hundred thirty-four".