75017472 has 144 divisors (see below), whose sum is σ = 216336960. Its totient is φ = 23003136.

The previous prime is 75017443. The next prime is 75017473. The reversal of 75017472 is 27471057.

It is a happy number.

It is a super-2 number, since 2×75017472² = 11255242210541568, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75017473) 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, 773328 + ... + 773424.

It is an arithmetic number, because the mean of its divisors is an integer number (1502340).

Almost surely, 2^75017472 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 75017472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108168480).

75017472 is an abundant number, since it is smaller than the sum of its proper divisors (141319488).

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

75017472 is a wasteful number, since it uses less digits than its factorization.

75017472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 13720, while the sum is 33.

The square root of 75017472 is about 8661.2627254922. The cubic root of 75017472 is about 421.7490777872.

The spelling of 75017472 in words is "seventy-five million, seventeen thousand, four hundred seventy-two".