75465 has 32 divisors (see below), whose sum is σ = 147840. Its totient is φ = 36288.

The previous prime is 75437. The next prime is 75479. The reversal of 75465 is 56457.

75465 is nontrivially palindromic in base 2.

It is not a de Polignac number, because 75465 - 2⁶ = 75401 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (4200) is a multiple of the sum of its prime factors (70).

It is a zygodrome in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1734 + ... + 1776.

It is an arithmetic number, because the mean of its divisors is an integer number (4620).

2⁷⁵⁴⁶⁵ is an apocalyptic number.

It is an amenable number.

75465 is a deficient number, since it is larger than the sum of its proper divisors (72375).

75465 is a wasteful number, since it uses less digits than its factorization.

75465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 64 counting only the distinct ones).

The product of its digits is 4200, while the sum is 27.

The square root of 75465 is about 274.7089368768. The cubic root of 75465 is about 42.2586084720.

The spelling of 75465 in words is "seventy-five thousand, four hundred sixty-five".