72335796 has 48 divisors (see below), whose sum is σ = 183606528. Its totient is φ = 22032000.

The previous prime is 72335699. The next prime is 72335807. The reversal of 72335796 is 69753327.

It is a happy number.

It is a super-3 number, since 3×72335796³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 13461 + ... + 18051.

It is an arithmetic number, because the mean of its divisors is an integer number (3825136).

Almost surely, 2^72335796 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 72335796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91803264).

72335796 is an abundant number, since it is smaller than the sum of its proper divisors (111270732).

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

72335796 is a wasteful number, since it uses less digits than its factorization.

72335796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4712 (or 4710 counting only the distinct ones).

The product of its digits is 238140, while the sum is 42.

The square root of 72335796 is about 8505.0453261579. The cubic root of 72335796 is about 416.6625060562.

The spelling of 72335796 in words is "seventy-two million, three hundred thirty-five thousand, seven hundred ninety-six".