72925 has 6 divisors (see below), whose sum is σ = 90458. Its totient is φ = 58320.

The previous prime is 72923. The next prime is 72931. The reversal of 72925 is 52927.

It can be written as a sum of positive squares in 3 ways, for example, as 24964 + 47961 = 158^2 + 219^2 .

It is not a de Polignac number, because 72925 - 2¹ = 72923 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25), and also a Moran number because the ratio is a prime number: 2917 = 72925 / (7 + 2 + 9 + 2 + 5).

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a plaindrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 72925.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72923) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1434 + ... + 1483.

2⁷²⁹²⁵ is an apocalyptic number.

It is an amenable number.

72925 is a deficient number, since it is larger than the sum of its proper divisors (17533).

72925 is a wasteful number, since it uses less digits than its factorization.

72925 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2927 (or 2922 counting only the distinct ones).

The product of its digits is 1260, while the sum is 25.

The square root of 72925 is about 270.0462923278. The cubic root of 72925 is about 41.7790742539.

Subtracting from 72925 its sum of digits (25), we obtain a square (72900 = 270²).

It can be divided in two parts, 729 and 25, that multiplied together give a square (18225 = 135²).

The spelling of 72925 in words is "seventy-two thousand, nine hundred twenty-five".