72471204 has 72 divisors (see below), whose sum is σ = 208910520. Its totient is φ = 20984832.

The previous prime is 72471199. The next prime is 72471241. The reversal of 72471204 is 40217427.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1102500 + 71368704 = 1050^2 + 8448^2 .

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3402 + ... + 12510.

It is an arithmetic number, because the mean of its divisors is an integer number (2901535).

Almost surely, 2^72471204 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 72471204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104455260).

72471204 is an abundant number, since it is smaller than the sum of its proper divisors (136439316).

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

72471204 is a wasteful number, since it uses less digits than its factorization.

72471204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9149 (or 9144 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 72471204 is about 8513.0020556793. The cubic root of 72471204 is about 416.9223325496.

The spelling of 72471204 in words is "seventy-two million, four hundred seventy-one thousand, two hundred four".