73251 has 8 divisors (see below), whose sum is σ = 108560. Its totient is φ = 48816.

The previous prime is 73243. The next prime is 73259. The reversal of 73251 is 15237.

It is an interprime number because it is at equal distance from previous prime (73243) and next prime (73259).

It is not a de Polignac number, because 73251 - 2³ = 73243 is a prime.

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 73251.

It is not an unprimeable number, because it can be changed into a prime (73259) 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, 1330 + ... + 1383.

It is an arithmetic number, because the mean of its divisors is an integer number (13570).

2⁷³²⁵¹ is an apocalyptic number.

73251 is a deficient number, since it is larger than the sum of its proper divisors (35309).

73251 is a wasteful number, since it uses less digits than its factorization.

73251 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2722 (or 2716 counting only the distinct ones).

The product of its digits is 210, while the sum is 18.

The square root of 73251 is about 270.6492194705. The cubic root of 73251 is about 41.8412373581.

Adding to 73251 its reverse (15237), we get a palindrome (88488).

It can be divided in two parts, 73 and 251, that added together give a square (324 = 18²).

The spelling of 73251 in words is "seventy-three thousand, two hundred fifty-one".