71288500 has 48 divisors (see below), whose sum is σ = 162489600. Its totient is φ = 27271200.

The previous prime is 71288471. The next prime is 71288509. The reversal of 71288500 is 588217.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71288509) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8401 + ... + 14599.

It is an arithmetic number, because the mean of its divisors is an integer number (3385200).

Almost surely, 2^71288500 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 71288500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81244800).

71288500 is an abundant number, since it is smaller than the sum of its proper divisors (91201100).

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

71288500 is a wasteful number, since it uses less digits than its factorization.

71288500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6241 (or 6229 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 31.

The square root of 71288500 is about 8443.2517432563. The cubic root of 71288500 is about 414.6418742336.

The spelling of 71288500 in words is "seventy-one million, two hundred eighty-eight thousand, five hundred".