75040960 has 56 divisors (see below), whose sum is σ = 179990496. Its totient is φ = 29798400.

The previous prime is 75040943. The next prime is 75040963. The reversal of 75040960 is 6904057.

It is a super-2 number, since 2×75040960² = 11262291355443200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75040963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47544 + ... + 49096.

It is an arithmetic number, because the mean of its divisors is an integer number (3214116).

Almost surely, 2^75040960 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 75040960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89995248).

75040960 is an abundant number, since it is smaller than the sum of its proper divisors (104949536).

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

75040960 is a wasteful number, since it uses less digits than its factorization.

75040960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1721 (or 1711 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 75040960 is about 8662.6185417575. The cubic root of 75040960 is about 421.7930897948.

The spelling of 75040960 in words is "seventy-five million, forty thousand, nine hundred sixty".