72305136 has 70 divisors (see below), whose sum is σ = 210074600. Its totient is φ = 24097824.

The previous prime is 72305111. The next prime is 72305137. The reversal of 72305136 is 63150327.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72305137) 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 13 ways as a sum of consecutive naturals, for example, 8565 + ... + 14763.

Almost surely, 2^72305136 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 72305136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105037300).

72305136 is an abundant number, since it is smaller than the sum of its proper divisors (137769464).

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

72305136 is an equidigital number, since it uses as much as digits as its factorization.

72305136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6225 (or 6204 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 72305136 is about 8503.2426755915. The cubic root of 72305136 is about 416.6036293614.

The spelling of 72305136 in words is "seventy-two million, three hundred five thousand, one hundred thirty-six".