75287264 has 48 divisors (see below), whose sum is σ = 161935200. Its totient is φ = 34245120.

The previous prime is 75287263. The next prime is 75287269. The reversal of 75287264 is 46278257.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75287263) 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, 28262 + ... + 30810.

It is an arithmetic number, because the mean of its divisors is an integer number (3373650).

Almost surely, 2^75287264 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 75287264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80967600).

75287264 is an abundant number, since it is smaller than the sum of its proper divisors (86647936).

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

75287264 is a wasteful number, since it uses less digits than its factorization.

75287264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2643 (or 2635 counting only the distinct ones).

The product of its digits is 188160, while the sum is 41.

The square root of 75287264 is about 8676.8233818604. The cubic root of 75287264 is about 422.2540641216.

The spelling of 75287264 in words is "seventy-five million, two hundred eighty-seven thousand, two hundred sixty-four".