75414132 has 96 divisors (see below), whose sum is σ = 203212800. Its totient is φ = 24170976.

The previous prime is 75414127. The next prime is 75414137. The reversal of 75414132 is 23141457.

It is an interprime number because it is at equal distance from previous prime (75414127) and next prime (75414137).

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

It is a junction number, because it is equal to n+sod(n) for n = 75414096 and 75414105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75414137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 421219 + ... + 421397.

It is an arithmetic number, because the mean of its divisors is an integer number (2116800).

Almost surely, 2^75414132 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 75414132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101606400).

75414132 is an abundant number, since it is smaller than the sum of its proper divisors (127798668).

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

75414132 is a wasteful number, since it uses less digits than its factorization.

75414132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 314 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 75414132 is about 8684.1310446124. The cubic root of 75414132 is about 422.4911138030.

Adding to 75414132 its reverse (23141457), we get a palindrome (98555589).

The spelling of 75414132 in words is "seventy-five million, four hundred fourteen thousand, one hundred thirty-two".