71259240 has 128 divisors (see below), whose sum is σ = 243855360. Its totient is φ = 16502784.

The previous prime is 71259233. The next prime is 71259283. The reversal of 71259240 is 4295217.

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

It is a junction number, because it is equal to n+sod(n) for n = 71259198 and 71259207.

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 31 ways as a sum of consecutive naturals, for example, 25177 + ... + 27863.

It is an arithmetic number, because the mean of its divisors is an integer number (1905120).

Almost surely, 2^71259240 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 71259240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121927680).

71259240 is an abundant number, since it is smaller than the sum of its proper divisors (172596120).

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

71259240 is a wasteful number, since it uses less digits than its factorization.

71259240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2731 (or 2727 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 71259240 is about 8441.5188206862. The cubic root of 71259240 is about 414.5851372586.

The spelling of 71259240 in words is "seventy-one million, two hundred fifty-nine thousand, two hundred forty".