75413760 has 144 divisors (see below), whose sum is σ = 247242240. Its totient is φ = 19578880.

The previous prime is 75413699. The next prime is 75413761. The reversal of 75413760 is 6731457.

It is not an unprimeable number, because it can be changed into a prime (75413761) 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, 157201 + ... + 157679.

It is an arithmetic number, because the mean of its divisors is an integer number (1716960).

Almost surely, 2^75413760 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 75413760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123621120).

75413760 is an abundant number, since it is smaller than the sum of its proper divisors (171828480).

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

75413760 is a wasteful number, since it uses less digits than its factorization.

75413760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 33.

The square root of 75413760 is about 8684.1096262081. The cubic root of 75413760 is about 422.4904191191.

The spelling of 75413760 in words is "seventy-five million, four hundred thirteen thousand, seven hundred sixty".