75563540 has 48 divisors (see below), whose sum is σ = 172034688. Its totient is φ = 27713664.

The previous prime is 75563519. The next prime is 75563549. The reversal of 75563540 is 4536557.

It is a self number, because there is not a number n which added to its sum of digits gives 75563540.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75563549) 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, 41489 + ... + 43271.

It is an arithmetic number, because the mean of its divisors is an integer number (3584056).

Almost surely, 2^75563540 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 75563540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86017344).

75563540 is an abundant number, since it is smaller than the sum of its proper divisors (96471148).

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

75563540 is a wasteful number, since it uses less digits than its factorization.

75563540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1968 (or 1966 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 35.

The square root of 75563540 is about 8692.7291456711. The cubic root of 75563540 is about 422.7699382549.

The spelling of 75563540 in words is "seventy-five million, five hundred sixty-three thousand, five hundred forty".