72104544 has 72 divisors (see below), whose sum is σ = 215855640. Its totient is φ = 22768128.

The previous prime is 72104537. The next prime is 72104551. The reversal of 72104544 is 44540127.

It is an interprime number because it is at equal distance from previous prime (72104537) and next prime (72104551).

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1117 + ... + 12060.

It is an arithmetic number, because the mean of its divisors is an integer number (2997995).

Almost surely, 2^72104544 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 72104544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107927820).

72104544 is an abundant number, since it is smaller than the sum of its proper divisors (143751096).

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

72104544 is a wasteful number, since it uses less digits than its factorization.

72104544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13212 (or 13201 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 72104544 is about 8491.4394539442. The cubic root of 72104544 is about 416.2180193486.

The spelling of 72104544 in words is "seventy-two million, one hundred four thousand, five hundred forty-four".