75114828 has 72 divisors (see below), whose sum is σ = 201255600. Its totient is φ = 23556096.

The previous prime is 75114821. The next prime is 75114863. The reversal of 75114828 is 82841157.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 75114792 and 75114801.

It is not an unprimeable number, because it can be changed into a prime (75114821) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131728 + ... + 132296.

Almost surely, 2^75114828 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 75114828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100627800).

75114828 is an abundant number, since it is smaller than the sum of its proper divisors (126140772).

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

75114828 is a wasteful number, since it uses less digits than its factorization.

75114828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791 (or 786 counting only the distinct ones).

The product of its digits is 17920, while the sum is 36.

The square root of 75114828 is about 8666.8810999113. The cubic root of 75114828 is about 421.9314444313.

The spelling of 75114828 in words is "seventy-five million, one hundred fourteen thousand, eight hundred twenty-eight".