75006960 has 80 divisors (see below), whose sum is σ = 265744896. Its totient is φ = 17144064.

The previous prime is 75006937. The next prime is 75006961. The reversal of 75006960 is 6960057.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75006961) 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, 20644 + ... + 24003.

Almost surely, 2^75006960 is an apocalyptic number.

75006960 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

75006960 is an abundant number, since it is smaller than the sum of its proper divisors (190737936).

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

75006960 is a wasteful number, since it uses less digits than its factorization.

75006960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44670 (or 44664 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 75006960 is about 8660.6558643096. The cubic root of 75006960 is about 421.7293773393.

The spelling of 75006960 in words is "seventy-five million, six thousand, nine hundred sixty".