71881500 has 96 divisors (see below), whose sum is σ = 211288896. Its totient is φ = 18988800.

The previous prime is 71881451. The next prime is 71881501. The reversal of 71881500 is 518817.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71881501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 259362 + ... + 259638.

It is an arithmetic number, because the mean of its divisors is an integer number (2200926).

Almost surely, 2^71881500 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 71881500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105644448).

71881500 is an abundant number, since it is smaller than the sum of its proper divisors (139407396).

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

71881500 is a wasteful number, since it uses less digits than its factorization.

71881500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 30.

The square root of 71881500 is about 8478.2958193260. The cubic root of 71881500 is about 415.7884078660.

The spelling of 71881500 in words is "seventy-one million, eight hundred eighty-one thousand, five hundred".