71649928 has 64 divisors (see below), whose sum is σ = 160128000. Its totient is φ = 29410560.

The previous prime is 71649901. The next prime is 71649947. The reversal of 71649928 is 82994617.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 258526 + ... + 258802.

It is an arithmetic number, because the mean of its divisors is an integer number (2502000).

Almost surely, 2^71649928 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 71649928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80064000).

71649928 is an abundant number, since it is smaller than the sum of its proper divisors (88478072).

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

71649928 is a wasteful number, since it uses less digits than its factorization.

71649928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 466 counting only the distinct ones).

The product of its digits is 217728, while the sum is 46.

The square root of 71649928 is about 8464.6280485323. The cubic root of 71649928 is about 415.3414289948.

The spelling of 71649928 in words is "seventy-one million, six hundred forty-nine thousand, nine hundred twenty-eight".