72152934 has 64 divisors (see below), whose sum is σ = 171835392. Its totient is φ = 19764000.

The previous prime is 72152921. The next prime is 72152939. The reversal of 72152934 is 43925127.

It is a junction number, because it is equal to n+sod(n) for n = 72152895 and 72152904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72152939) 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, 196419 + ... + 196785.

It is an arithmetic number, because the mean of its divisors is an integer number (2684928).

Almost surely, 2^72152934 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72152934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85917696).

72152934 is an abundant number, since it is smaller than the sum of its proper divisors (99682458).

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

72152934 is a wasteful number, since it uses less digits than its factorization.

72152934 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561.

The product of its digits is 15120, while the sum is 33.

The square root of 72152934 is about 8494.2883162746. The cubic root of 72152934 is about 416.3111077309.

The spelling of 72152934 in words is "seventy-two million, one hundred fifty-two thousand, nine hundred thirty-four".