75492 has 30 divisors (see below), whose sum is σ = 198198. Its totient is φ = 25056.

The previous prime is 75479. The next prime is 75503. The reversal of 75492 is 29457.

It can be written as a sum of positive squares in only one way, i.e., 54756 + 20736 = 234^2 + 144^2 .

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

It is a plaindrome in base 8.

It is a zygodrome in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 208 + ... + 440.

2⁷⁵⁴⁹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99099).

75492 is an abundant number, since it is smaller than the sum of its proper divisors (122706).

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

75492 is a wasteful number, since it uses less digits than its factorization.

75492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 238 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 75492 is about 274.7580754045. The cubic root of 75492 is about 42.2636476574.

The spelling of 75492 in words is "seventy-five thousand, four hundred ninety-two".