75332964 has 48 divisors (see below), whose sum is σ = 202861568. Its totient is φ = 21312288.

The previous prime is 75332951. The next prime is 75332969. The reversal of 75332964 is 46923357.

It is not an unprimeable number, because it can be changed into a prime (75332969) 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, 4299 + ... + 13005.

Almost surely, 2^75332964 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 75332964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101430784).

75332964 is an abundant number, since it is smaller than the sum of its proper divisors (127528604).

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

75332964 is a wasteful number, since it uses less digits than its factorization.

75332964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8824 (or 8822 counting only the distinct ones).

The product of its digits is 136080, while the sum is 39.

The square root of 75332964 is about 8679.4564345931. The cubic root of 75332964 is about 422.3394840919.

The spelling of 75332964 in words is "seventy-five million, three hundred thirty-two thousand, nine hundred sixty-four".