75563472 has 80 divisors (see below), whose sum is σ = 202502912. Its totient is φ = 24261120.

The previous prime is 75563447. The next prime is 75563479. The reversal of 75563472 is 27436557.

It is a self number, because there is not a number n which added to its sum of digits gives 75563472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75563479) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 278697 + ... + 278967.

Almost surely, 2^75563472 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 75563472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101251456).

75563472 is an abundant number, since it is smaller than the sum of its proper divisors (126939440).

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

75563472 is a wasteful number, since it uses less digits than its factorization.

75563472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 470 counting only the distinct ones).

The product of its digits is 176400, while the sum is 39.

The square root of 75563472 is about 8692.7252343554. The cubic root of 75563472 is about 422.7698114373.

The spelling of 75563472 in words is "seventy-five million, five hundred sixty-three thousand, four hundred seventy-two".