72936344 has 48 divisors (see below), whose sum is σ = 150316200. Its totient is φ = 33156864.

The previous prime is 72936329. The next prime is 72936349. The reversal of 72936344 is 44363927.

It is a junction number, because it is equal to n+sod(n) for n = 72936298 and 72936307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72936349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 98327 + ... + 99065.

Almost surely, 2^72936344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72936344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75158100).

72936344 is an abundant number, since it is smaller than the sum of its proper divisors (77379856).

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

72936344 is a wasteful number, since it uses less digits than its factorization.

72936344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844 (or 827 counting only the distinct ones).

The product of its digits is 108864, while the sum is 38.

The square root of 72936344 is about 8540.2777472398. The cubic root of 72936344 is about 417.8124048517.

It can be divided in two parts, 729 and 36344, that added together give a palindrome (37073).

The spelling of 72936344 in words is "seventy-two million, nine hundred thirty-six thousand, three hundred forty-four".