75032964 has 18 divisors (see below), whose sum is σ = 189666750. Its totient is φ = 25010976.

The previous prime is 75032959. The next prime is 75032981. The reversal of 75032964 is 46923057.

It can be written as a sum of positive squares in only one way, i.e., 71064900 + 3968064 = 8430^2 + 1992^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-3 number, since 3×75032964³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2084249 = 75032964 / (7 + 5 + 0 + 3 + 2 + 9 + 6 + 4).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1042089 + ... + 1042160.

Almost surely, 2^75032964 is an apocalyptic number.

It is an amenable number.

75032964 is an abundant number, since it is smaller than the sum of its proper divisors (114633786).

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

75032964 is a wasteful number, since it uses less digits than its factorization.

75032964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2084259 (or 2084254 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 75032964 is about 8662.1570061966. The cubic root of 75032964 is about 421.7781078555.

The spelling of 75032964 in words is "seventy-five million, thirty-two thousand, nine hundred sixty-four".