75460 has 48 divisors (see below), whose sum is σ = 201600. Its totient is φ = 23520.

The previous prime is 75437. The next prime is 75479. The reversal of 75460 is 6457.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a nialpdrome in base 7.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6855 + ... + 6865.

It is an arithmetic number, because the mean of its divisors is an integer number (4200).

2⁷⁵⁴⁶⁰ is an apocalyptic number.

75460 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100800).

75460 is an abundant number, since it is smaller than the sum of its proper divisors (126140).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

75460 is a wasteful number, since it uses less digits than its factorization.

75460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 75460 is about 274.6998361849. The cubic root of 75460 is about 42.2576751576.

It can be divided in two parts, 75 and 460, that added together give a palindrome (535).

The spelling of 75460 in words is "seventy-five thousand, four hundred sixty".