75862240 has 48 divisors (see below), whose sum is σ = 180033840. Its totient is φ = 30208000.

The previous prime is 75862217. The next prime is 75862271. The reversal of 75862240 is 4226857.

It is a junction number, because it is equal to n+sod(n) for n = 75862196 and 75862205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39216 + ... + 41104.

It is an arithmetic number, because the mean of its divisors is an integer number (3750705).

Almost surely, 2^75862240 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 75862240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90016920).

75862240 is an abundant number, since it is smaller than the sum of its proper divisors (104171600).

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

75862240 is a wasteful number, since it uses less digits than its factorization.

75862240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2155 (or 2147 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The square root of 75862240 is about 8709.8932255223. The cubic root of 75862240 is about 423.3262707125.

The spelling of 75862240 in words is "seventy-five million, eight hundred sixty-two thousand, two hundred forty".