75463520 has 96 divisors (see below), whose sum is σ = 198404640. Its totient is φ = 26890240.

The previous prime is 75463519. The next prime is 75463523. The reversal of 75463520 is 2536457.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75463523) 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, 92876 + ... + 93684.

It is an arithmetic number, because the mean of its divisors is an integer number (2066715).

Almost surely, 2^75463520 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 75463520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99202320).

75463520 is an abundant number, since it is smaller than the sum of its proper divisors (122941120).

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

75463520 is a wasteful number, since it uses less digits than its factorization.

75463520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 32.

The square root of 75463520 is about 8686.9741567476. The cubic root of 75463520 is about 422.5833221520.

Adding to 75463520 its reverse (2536457), we get a palindrome (77999977).

The spelling of 75463520 in words is "seventy-five million, four hundred sixty-three thousand, five hundred twenty".