75064320 has 220 divisors, whose sum is σ = 270474204. Its totient is φ = 19906560.

The previous prime is 75064259. The next prime is 75064349. The reversal of 75064320 is 2346057.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 10036224 + 65028096 = 3168^2 + 8064^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 414630 + ... + 414810.

Almost surely, 2^75064320 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 75064320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135237102).

75064320 is an abundant number, since it is smaller than the sum of its proper divisors (195409884).

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

75064320 is a wasteful number, since it uses less digits than its factorization.

75064320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 75064320 is about 8663.9667589390. The cubic root of 75064320 is about 421.8368528470.

The spelling of 75064320 in words is "seventy-five million, sixty-four thousand, three hundred twenty".