72185904 has 200 divisors, whose sum is σ = 244265120. Its totient is φ = 20155392.

The previous prime is 72185849. The next prime is 72185909. The reversal of 72185904 is 40958127.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (72185909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 662202 + ... + 662310.

Almost surely, 2^72185904 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 72185904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122132560).

72185904 is an abundant number, since it is smaller than the sum of its proper divisors (172079216).

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

72185904 is a wasteful number, since it uses less digits than its factorization.

72185904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 72185904 is about 8496.2288104782. The cubic root of 72185904 is about 416.3745086505.

The spelling of 72185904 in words is "seventy-two million, one hundred eighty-five thousand, nine hundred four".