75402 has 24 divisors (see below), whose sum is σ = 168480. Its totient is φ = 24360.

The previous prime is 75401. The next prime is 75403. The reversal of 75402 is 20457.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (75401) and next prime (75403).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (75401) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1027 + ... + 1097.

It is an arithmetic number, because the mean of its divisors is an integer number (7020).

2⁷⁵⁴⁰² is an apocalyptic number.

75402 is an abundant number, since it is smaller than the sum of its proper divisors (93078).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84240).

75402 is a wasteful number, since it uses less digits than its factorization.

75402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 75402 is about 274.5942461160. The cubic root of 75402 is about 42.2468456966.

Adding to 75402 its reverse (20457), we get a palindrome (95859).

Subtracting from 75402 its reverse (20457), we obtain a palindrome (54945).

The spelling of 75402 in words is "seventy-five thousand, four hundred two".