72225504 has 144 divisors (see below), whose sum is σ = 224550144. Its totient is φ = 21888000.

The previous prime is 72225493. The next prime is 72225523. The reversal of 72225504 is 40552227.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 378049 + ... + 378239.

It is an arithmetic number, because the mean of its divisors is an integer number (1559376).

Almost surely, 2^72225504 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 72225504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112275072).

72225504 is an abundant number, since it is smaller than the sum of its proper divisors (152324640).

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

72225504 is a wasteful number, since it uses less digits than its factorization.

72225504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 72225504 is about 8498.5589366669. The cubic root of 72225504 is about 416.4506334683.

The spelling of 72225504 in words is "seventy-two million, two hundred twenty-five thousand, five hundred four".