76251 has 8 divisors (see below), whose sum is σ = 116224. Its totient is φ = 43560.

The previous prime is 76249. The next prime is 76253. The reversal of 76251 is 15267.

It is an interprime number because it is at equal distance from previous prime (76249) and next prime (76253).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 76251 - 2¹ = 76249 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 3631 = 76251 / (7 + 6 + 2 + 5 + 1).

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 76251.

It is not an unprimeable number, because it can be changed into a prime (76253) 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, 1795 + ... + 1836.

It is an arithmetic number, because the mean of its divisors is an integer number (14528).

2⁷⁶²⁵¹ is an apocalyptic number.

76251 is a deficient number, since it is larger than the sum of its proper divisors (39973).

76251 is a wasteful number, since it uses less digits than its factorization.

76251 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3641.

The product of its digits is 420, while the sum is 21.

The square root of 76251 is about 276.1358361387. The cubic root of 76251 is about 42.4048158171.

It can be divided in two parts, 7625 and 1, that added together give a triangular number (7626 = T₁₂₃).

The spelling of 76251 in words is "seventy-six thousand, two hundred fifty-one".