71925 has 24 divisors (see below), whose sum is σ = 136896. Its totient is φ = 32640.

The previous prime is 71917. The next prime is 71933. The reversal of 71925 is 52917.

It is an interprime number because it is at equal distance from previous prime (71917) and next prime (71933).

It is not a de Polignac number, because 71925 - 2³ = 71917 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 71895 and 71904.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 71925.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 457 + ... + 593.

It is an arithmetic number, because the mean of its divisors is an integer number (5704).

2⁷¹⁹²⁵ is an apocalyptic number.

71925 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

71925 is a deficient number, since it is larger than the sum of its proper divisors (64971).

71925 is a wasteful number, since it uses less digits than its factorization.

71925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 152 counting only the distinct ones).

The product of its digits is 630, while the sum is 24.

The square root of 71925 is about 268.1883666381. The cubic root of 71925 is about 41.5872264160.

The spelling of 71925 in words is "seventy-one thousand, nine hundred twenty-five".