72304120 has 64 divisors (see below), whose sum is σ = 195724800. Its totient is φ = 23483520.

The previous prime is 72304117. The next prime is 72304147. The reversal of 72304120 is 2140327.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1476 + ... + 12115.

It is an arithmetic number, because the mean of its divisors is an integer number (3058200).

Almost surely, 2^72304120 is an apocalyptic number.

72304120 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72304120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97862400).

72304120 is an abundant number, since it is smaller than the sum of its proper divisors (123420680).

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

72304120 is a wasteful number, since it uses less digits than its factorization.

72304120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13628 (or 13624 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 72304120 is about 8503.1829334667. The cubic root of 72304120 is about 416.6016780419.

Adding to 72304120 its reverse (2140327), we get a palindrome (74444447).

The spelling of 72304120 in words is "seventy-two million, three hundred four thousand, one hundred twenty".