72411904 has 36 divisors (see below), whose sum is σ = 148087800. Its totient is φ = 35317760.

The previous prime is 72411901. The next prime is 72411917. The reversal of 72411904 is 40911427.

It is not an unprimeable number, because it can be changed into a prime (72411901) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7047 + ... + 13945.

It is an arithmetic number, because the mean of its divisors is an integer number (4113550).

Almost surely, 2^72411904 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 72411904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74043900).

72411904 is an abundant number, since it is smaller than the sum of its proper divisors (75675896).

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

72411904 is an equidigital number, since it uses as much as digits as its factorization.

72411904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6956 (or 6942 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 72411904 is about 8509.5184352582. The cubic root of 72411904 is about 416.8085851143.

The spelling of 72411904 in words is "seventy-two million, four hundred eleven thousand, nine hundred four".