75473632 has 48 divisors (see below), whose sum is σ = 160770960. Its totient is φ = 34670592.

The previous prime is 75473621. The next prime is 75473633. The reversal of 75473632 is 23637457.

It is a junction number, because it is equal to n+sod(n) for n = 75473591 and 75473600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75473633) 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, 174088 + ... + 174520.

It is an arithmetic number, because the mean of its divisors is an integer number (3349395).

Almost surely, 2^75473632 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 75473632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80385480).

75473632 is an abundant number, since it is smaller than the sum of its proper divisors (85297328).

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

75473632 is a wasteful number, since it uses less digits than its factorization.

75473632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875 (or 867 counting only the distinct ones).

The product of its digits is 105840, while the sum is 37.

The square root of 75473632 is about 8687.5561580919. The cubic root of 75473632 is about 422.6021964889.

The spelling of 75473632 in words is "seventy-five million, four hundred seventy-three thousand, six hundred thirty-two".