75269952 has 112 divisors (see below), whose sum is σ = 226649280. Its totient is φ = 24482304.

The previous prime is 75269941. The next prime is 75269981. The reversal of 75269952 is 25996257.

It is a junction number, because it is equal to n+sod(n) for n = 75269898 and 75269907.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73798 + ... + 74810.

Almost surely, 2^75269952 is an apocalyptic number.

75269952 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75269952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113324640).

75269952 is an abundant number, since it is smaller than the sum of its proper divisors (151379328).

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

75269952 is a wasteful number, since it uses less digits than its factorization.

75269952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1077 (or 1061 counting only the distinct ones).

The product of its digits is 340200, while the sum is 45.

The square root of 75269952 is about 8675.8257243907. The cubic root of 75269952 is about 422.2216964393.

The spelling of 75269952 in words is "seventy-five million, two hundred sixty-nine thousand, nine hundred fifty-two".