71190288 has 120 divisors (see below), whose sum is σ = 227282328. Its totient is φ = 20606976.

The previous prime is 71190281. The next prime is 71190307. The reversal of 71190288 is 88209117.

It can be written as a sum of positive squares in 4 ways, for example, as 16548624 + 54641664 = 4068^2 + 7392^2 .

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

It is not an unprimeable number, because it can be changed into a prime (71190281) 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 23 ways as a sum of consecutive naturals, for example, 30706 + ... + 32942.

Almost surely, 2^71190288 is an apocalyptic number.

71190288 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71190288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113641164).

71190288 is an abundant number, since it is smaller than the sum of its proper divisors (156092040).

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

71190288 is a wasteful number, since it uses less digits than its factorization.

71190288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2281 (or 2272 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 71190288 is about 8437.4337330731. The cubic root of 71190288 is about 414.4513735547.

The spelling of 71190288 in words is "seventy-one million, one hundred ninety thousand, two hundred eighty-eight".