75838720 has 72 divisors (see below), whose sum is σ = 183224160. Its totient is φ = 30074880.

The previous prime is 75838703. The next prime is 75838723. The reversal of 75838720 is 2783857.

It is a super-2 number, since 2×75838720² = 11503022902476800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75838723) 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, 228955 + ... + 229285.

It is an arithmetic number, because the mean of its divisors is an integer number (2544780).

Almost surely, 2^75838720 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 75838720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91612080).

75838720 is an abundant number, since it is smaller than the sum of its proper divisors (107385440).

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

75838720 is a wasteful number, since it uses less digits than its factorization.

75838720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 40.

The square root of 75838720 is about 8708.5429320869. The cubic root of 75838720 is about 423.2825174433.

The spelling of 75838720 in words is "seventy-five million, eight hundred thirty-eight thousand, seven hundred twenty".