75045456 has 60 divisors (see below), whose sum is σ = 214007508. Its totient is φ = 24540672.

The previous prime is 75045431. The next prime is 75045473. The reversal of 75045456 is 65454057.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 46785600 + 28259856 = 6840^2 + 5316^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 75045456.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2716 + ... + 12548.

Almost surely, 2^75045456 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 75045456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107003754).

75045456 is an abundant number, since it is smaller than the sum of its proper divisors (138962052).

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

75045456 is a wasteful number, since it uses less digits than its factorization.

75045456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9900 (or 9891 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 75045456 is about 8662.8780436989. The cubic root of 75045456 is about 421.8015133894.

The spelling of 75045456 in words is "seventy-five million, forty-five thousand, four hundred fifty-six".