72625360 has 40 divisors (see below), whose sum is σ = 178789896. Its totient is φ = 27340800.

The previous prime is 72625351. The next prime is 72625361. The reversal of 72625360 is 6352627.

It can be written as a sum of positive squares in 4 ways, for example, as 6170256 + 66455104 = 2484^2 + 8152^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72625361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25341 + ... + 28060.

Almost surely, 2^72625360 is an apocalyptic number.

It is an amenable number.

72625360 is an abundant number, since it is smaller than the sum of its proper divisors (106164536).

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

72625360 is a wasteful number, since it uses less digits than its factorization.

72625360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53431 (or 53425 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 31.

The square root of 72625360 is about 8522.0513962308. The cubic root of 72625360 is about 417.2177398206.

Adding to 72625360 its reverse (6352627), we get a palindrome (78977987).

The spelling of 72625360 in words is "seventy-two million, six hundred twenty-five thousand, three hundred sixty".