72199904 has 48 divisors (see below), whose sum is σ = 163564128. Its totient is φ = 30730752.

The previous prime is 72199903. The next prime is 72199931. The reversal of 72199904 is 40999127.

It is a happy number.

It is a super-2 number, since 2×72199904² = 10425652275218432, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72199903) 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 7 ways as a sum of consecutive naturals, for example, 34142 + ... + 36194.

It is an arithmetic number, because the mean of its divisors is an integer number (3407586).

Almost surely, 2^72199904 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 72199904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81782064).

72199904 is an abundant number, since it is smaller than the sum of its proper divisors (91364224).

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

72199904 is a wasteful number, since it uses less digits than its factorization.

72199904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2227 (or 2219 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 41.

The square root of 72199904 is about 8497.0526654835. The cubic root of 72199904 is about 416.4014246456.

The spelling of 72199904 in words is "seventy-two million, one hundred ninety-nine thousand, nine hundred four".