71728920 has 48 divisors (see below), whose sum is σ = 233120160. Its totient is φ = 19127616.

The previous prime is 71728913. The next prime is 71728931. The reversal of 71728920 is 2982717.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99264 + ... + 99983.

It is an arithmetic number, because the mean of its divisors is an integer number (4856670).

Almost surely, 2^71728920 is an apocalyptic number.

It is an amenable number.

71728920 is an abundant number, since it is smaller than the sum of its proper divisors (161391240).

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

71728920 is a wasteful number, since it uses less digits than its factorization.

71728920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199264 (or 199257 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 71728920 is about 8469.2927685846. The cubic root of 71728920 is about 415.4940069600.

The spelling of 71728920 in words is "seventy-one million, seven hundred twenty-eight thousand, nine hundred twenty".