73751 has 2 divisors, whose sum is σ = 73752. Its totient is φ = 73750.

The previous prime is 73727. The next prime is 73757. The reversal of 73751 is 15737.

It is a happy number.

It is a strong prime.

It is an emirp because it is prime and its reverse (15737) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 73751 - 2¹⁰ = 72727 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

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 73751.

It is not a weakly prime, because it can be changed into another prime (73757) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36875 + 36876.

It is an arithmetic number, because the mean of its divisors is an integer number (36876).

2⁷³⁷⁵¹ is an apocalyptic number.

73751 is a deficient number, since it is larger than the sum of its proper divisors (1).

73751 is an equidigital number, since it uses as much as digits as its factorization.

73751 is an evil number, because the sum of its binary digits is even.

The product of its digits is 735, while the sum is 23.

The square root of 73751 is about 271.5713534230. The cubic root of 73751 is about 41.9362221732.

The spelling of 73751 in words is "seventy-three thousand, seven hundred fifty-one".