72827920 has 40 divisors (see below), whose sum is σ = 184720320. Its totient is φ = 26482560.

The previous prime is 72827917. The next prime is 72827921. The reversal of 72827920 is 2972827.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 72827920.

It is not an unprimeable number, because it can be changed into a prime (72827921) 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, 40500 + ... + 42259.

It is an arithmetic number, because the mean of its divisors is an integer number (4618008).

Almost surely, 2^72827920 is an apocalyptic number.

It is an amenable number.

72827920 is an abundant number, since it is smaller than the sum of its proper divisors (111892400).

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

72827920 is a wasteful number, since it uses less digits than its factorization.

72827920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82783 (or 82777 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 37.

The square root of 72827920 is about 8533.9275834753. The cubic root of 72827920 is about 417.6052682551.

The spelling of 72827920 in words is "seventy-two million, eight hundred twenty-seven thousand, nine hundred twenty".