75836540 has 72 divisors (see below), whose sum is σ = 178883712. Its totient is φ = 26818560.

The previous prime is 75836539. The next prime is 75836573. The reversal of 75836540 is 4563857.

It is a junction number, because it is equal to n+sod(n) for n = 75836494 and 75836503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 781772 + ... + 781868.

It is an arithmetic number, because the mean of its divisors is an integer number (2484496).

Almost surely, 2^75836540 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 75836540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89441856).

75836540 is an abundant number, since it is smaller than the sum of its proper divisors (103047172).

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

75836540 is a wasteful number, since it uses less digits than its factorization.

75836540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 38.

The square root of 75836540 is about 8708.4177667358. The cubic root of 75836540 is about 423.2784616226.

The spelling of 75836540 in words is "seventy-five million, eight hundred thirty-six thousand, five hundred forty".