75723920 has 20 divisors (see below), whose sum is σ = 176058300. Its totient is φ = 30289536.

The previous prime is 75723919. The next prime is 75723929. The reversal of 75723920 is 2932757.

It can be written as a sum of positive squares in 2 ways, for example, as 30780304 + 44943616 = 5548^2 + 6704^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×75723920² = 11468224120332800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (75723929) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 473195 + ... + 473354.

It is an arithmetic number, because the mean of its divisors is an integer number (8802915).

Almost surely, 2^75723920 is an apocalyptic number.

It is an amenable number.

75723920 is an abundant number, since it is smaller than the sum of its proper divisors (100334380).

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

75723920 is a wasteful number, since it uses less digits than its factorization.

75723920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946562 (or 946556 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 35.

The square root of 75723920 is about 8701.9492069306. The cubic root of 75723920 is about 423.0688298854.

The spelling of 75723920 in words is "seventy-five million, seven hundred twenty-three thousand, nine hundred twenty".