72072520 has 128 divisors (see below), whose sum is σ = 191600640. Its totient is φ = 24145920.

The previous prime is 72072509. The next prime is 72072541. The reversal of 72072520 is 2527027.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 273909 + ... + 274171.

It is an arithmetic number, because the mean of its divisors is an integer number (1496880).

Almost surely, 2^72072520 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 72072520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95800320).

72072520 is an abundant number, since it is smaller than the sum of its proper divisors (119528120).

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

72072520 is a wasteful number, since it uses less digits than its factorization.

72072520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 25.

The square root of 72072520 is about 8489.5535807250. The cubic root of 72072520 is about 416.1563915191.

Adding to 72072520 its reverse (2527027), we get a palindrome (74599547).

The spelling of 72072520 in words is "seventy-two million, seventy-two thousand, five hundred twenty".