75872288 has 48 divisors (see below), whose sum is σ = 155240064. Its totient is φ = 36476160.

The previous prime is 75872281. The next prime is 75872297. The reversal of 75872288 is 88227857.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is not an unprimeable number, because it can be changed into a prime (75872281) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 91331 + ... + 92157.

It is an arithmetic number, because the mean of its divisors is an integer number (3234168).

Almost surely, 2^75872288 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 75872288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77620032).

75872288 is an abundant number, since it is smaller than the sum of its proper divisors (79367776).

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

75872288 is a wasteful number, since it uses less digits than its factorization.

75872288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945 (or 937 counting only the distinct ones).

The product of its digits is 501760, while the sum is 47.

The square root of 75872288 is about 8710.4700217612. The cubic root of 75872288 is about 423.3449598284.

The spelling of 75872288 in words is "seventy-five million, eight hundred seventy-two thousand, two hundred eighty-eight".