72418320 has 160 divisors (see below), whose sum is σ = 268732800. Its totient is φ = 17819136.

The previous prime is 72418309. The next prime is 72418327. The reversal of 72418320 is 2381427.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72418327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26791 + ... + 29369.

It is an arithmetic number, because the mean of its divisors is an integer number (1679580).

Almost surely, 2^72418320 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 72418320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134366400).

72418320 is an abundant number, since it is smaller than the sum of its proper divisors (196314480).

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

72418320 is a wasteful number, since it uses less digits than its factorization.

72418320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2614 (or 2602 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 72418320 is about 8509.8954165136. The cubic root of 72418320 is about 416.8208950834.

Adding to 72418320 its reverse (2381427), we get a palindrome (74799747).

It can be divided in two parts, 724 and 18320, that added together give a square (19044 = 138²).

The spelling of 72418320 in words is "seventy-two million, four hundred eighteen thousand, three hundred twenty".