75417472 has 64 divisors (see below), whose sum is σ = 164676960. Its totient is φ = 34191360.

The previous prime is 75417449. The next prime is 75417473. The reversal of 75417472 is 27471457.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75417473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 101133 + ... + 101875.

Almost surely, 2^75417472 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 75417472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82338480).

75417472 is an abundant number, since it is smaller than the sum of its proper divisors (89259488).

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

75417472 is a wasteful number, since it uses less digits than its factorization.

75417472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831 (or 819 counting only the distinct ones).

The product of its digits is 54880, while the sum is 37.

The square root of 75417472 is about 8684.3233472735. The cubic root of 75417472 is about 422.4973509165.

The spelling of 75417472 in words is "seventy-five million, four hundred seventeen thousand, four hundred seventy-two".