75705720 has 128 divisors (see below), whose sum is σ = 239984640. Its totient is φ = 19077120.

The previous prime is 75705713. The next prime is 75705731. The reversal of 75705720 is 2750757.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174624 + ... + 175056.

It is an arithmetic number, because the mean of its divisors is an integer number (1874880).

Almost surely, 2^75705720 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 75705720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119992320).

75705720 is an abundant number, since it is smaller than the sum of its proper divisors (164278920).

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

75705720 is a wasteful number, since it uses less digits than its factorization.

75705720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 17150, while the sum is 33.

The square root of 75705720 is about 8700.9034013716. The cubic root of 75705720 is about 423.0349327599.

The spelling of 75705720 in words is "seventy-five million, seven hundred five thousand, seven hundred twenty".