72513360 has 160 divisors (see below), whose sum is σ = 254448000. Its totient is φ = 18975744.

The previous prime is 72513359. The next prime is 72513401. The reversal of 72513360 is 6331527.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127156 + ... + 127724.

It is an arithmetic number, because the mean of its divisors is an integer number (1590300).

Almost surely, 2^72513360 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 72513360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127224000).

72513360 is an abundant number, since it is smaller than the sum of its proper divisors (181934640).

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

72513360 is a wasteful number, since it uses less digits than its factorization.

72513360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 72513360 is about 8515.4776730375. The cubic root of 72513360 is about 417.0031571626.

Adding to 72513360 its reverse (6331527), we get a palindrome (78844887).

The spelling of 72513360 in words is "seventy-two million, five hundred thirteen thousand, three hundred sixty".