72033104 has 80 divisors (see below), whose sum is σ = 172697280. Its totient is φ = 28615680.

The previous prime is 72033053. The next prime is 72033109. The reversal of 72033104 is 40133027.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72033109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42644 + ... + 44300.

It is an arithmetic number, because the mean of its divisors is an integer number (2158716).

Almost surely, 2^72033104 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 72033104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86348640).

72033104 is an abundant number, since it is smaller than the sum of its proper divisors (100664176).

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

72033104 is a wasteful number, since it uses less digits than its factorization.

72033104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1708 (or 1702 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 20.

The square root of 72033104 is about 8487.2318219782. The cubic root of 72033104 is about 416.0805132625.

The spelling of 72033104 in words is "seventy-two million, thirty-three thousand, one hundred four".