75332960 has 24 divisors (see below), whose sum is σ = 177974496. Its totient is φ = 30133120.

The previous prime is 75332951. The next prime is 75332969. The reversal of 75332960 is 6923357.

It is an interprime number because it is at equal distance from previous prime (75332951) and next prime (75332969).

It is a self number, because there is not a number n which added to its sum of digits gives 75332960.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 235256 + ... + 235575.

It is an arithmetic number, because the mean of its divisors is an integer number (7415604).

Almost surely, 2^75332960 is an apocalyptic number.

It is an amenable number.

75332960 is an abundant number, since it is smaller than the sum of its proper divisors (102641536).

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

75332960 is a wasteful number, since it uses less digits than its factorization.

75332960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470846 (or 470838 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 35.

The square root of 75332960 is about 8679.4562041639. The cubic root of 75332960 is about 422.3394766168.

The spelling of 75332960 in words is "seventy-five million, three hundred thirty-two thousand, nine hundred sixty".