75838520 has 64 divisors (see below), whose sum is σ = 176631840. Its totient is φ = 29286400.

The previous prime is 75838489. The next prime is 75838523. The reversal of 75838520 is 2583857.

It is a super-2 number, since 2×75838520² = 11502962231580800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75838523) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 214664 + ... + 215016.

Almost surely, 2^75838520 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 75838520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88315920).

75838520 is an abundant number, since it is smaller than the sum of its proper divisors (100793320).

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

75838520 is a wasteful number, since it uses less digits than its factorization.

75838520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 38.

The square root of 75838520 is about 8708.5314491021. The cubic root of 75838520 is about 423.2821453529.

The spelling of 75838520 in words is "seventy-five million, eight hundred thirty-eight thousand, five hundred twenty".