72725120 has 64 divisors (see below), whose sum is σ = 187253640. Its totient is φ = 26849280.

The previous prime is 72725119. The next prime is 72725131. The reversal of 72725120 is 2152727.

It can be written as a sum of positive squares in 4 ways, for example, as 33085504 + 39639616 = 5752^2 + 6296^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 72725120.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3950 + ... + 12690.

Almost surely, 2^72725120 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 72725120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93626820).

72725120 is an abundant number, since it is smaller than the sum of its proper divisors (114528520).

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

72725120 is a wasteful number, since it uses less digits than its factorization.

72725120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8773 (or 8761 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 26.

The square root of 72725120 is about 8527.9024384663. The cubic root of 72725120 is about 417.4086859710.

Adding to 72725120 its reverse (2152727), we get a palindrome (74877847).

The spelling of 72725120 in words is "seventy-two million, seven hundred twenty-five thousand, one hundred twenty".