75064440 has 256 divisors, whose sum is σ = 268531200. Its totient is φ = 16588800.

The previous prime is 75064439. The next prime is 75064471. The reversal of 75064440 is 4446057.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 75064398 and 75064407.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1028244 + ... + 1028316.

It is an arithmetic number, because the mean of its divisors is an integer number (1048950).

Almost surely, 2^75064440 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 75064440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134265600).

75064440 is an abundant number, since it is smaller than the sum of its proper divisors (193466760).

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

75064440 is a wasteful number, since it uses less digits than its factorization.

75064440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 75064440 is about 8663.9736841706. The cubic root of 75064440 is about 421.8370776338.

The spelling of 75064440 in words is "seventy-five million, sixty-four thousand, four hundred forty".