75803952 has 160 divisors (see below), whose sum is σ = 247698432. Its totient is φ = 19464192.

The previous prime is 75803951. The next prime is 75803953. The reversal of 75803952 is 25930857.

It is an interprime number because it is at equal distance from previous prime (75803951) and next prime (75803953).

It is a self number, because there is not a number n which added to its sum of digits gives 75803952.

It is not an unprimeable number, because it can be changed into a prime (75803951) 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, 131088 + ... + 131664.

Almost surely, 2^75803952 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 75803952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123849216).

75803952 is an abundant number, since it is smaller than the sum of its proper divisors (171894480).

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

75803952 is a wasteful number, since it uses less digits than its factorization.

75803952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 39.

The square root of 75803952 is about 8706.5465024888. The cubic root of 75803952 is about 423.2178234185.

The spelling of 75803952 in words is "seventy-five million, eight hundred three thousand, nine hundred fifty-two".