75276 has 48 divisors (see below), whose sum is σ = 211680. Its totient is φ = 23040.

The previous prime is 75269. The next prime is 75277. The reversal of 75276 is 67257.

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

It is not an unprimeable number, because it can be changed into a prime (75277) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1816 + ... + 1856.

It is an arithmetic number, because the mean of its divisors is an integer number (4410).

2⁷⁵²⁷⁶ 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 75276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105840).

75276 is an abundant number, since it is smaller than the sum of its proper divisors (136404).

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

75276 is a wasteful number, since it uses less digits than its factorization.

75276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 63 counting only the distinct ones).

The product of its digits is 2940, while the sum is 27.

The square root of 75276 is about 274.3647207642. The cubic root of 75276 is about 42.2233004752.

It can be divided in two parts, 752 and 76, that added together give a palindrome (828).

The spelling of 75276 in words is "seventy-five thousand, two hundred seventy-six".