71759142 has 128 divisors (see below), whose sum is σ = 208051200. Its totient is φ = 17791488.

The previous prime is 71759113. The next prime is 71759147. The reversal of 71759142 is 24195717.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 71759097 and 71759106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71759147) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 83109 + ... + 83967.

It is an arithmetic number, because the mean of its divisors is an integer number (1625400).

Almost surely, 2^71759142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71759142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104025600).

71759142 is an abundant number, since it is smaller than the sum of its proper divisors (136292058).

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

71759142 is a wasteful number, since it uses less digits than its factorization.

71759142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907 (or 901 counting only the distinct ones).

The product of its digits is 17640, while the sum is 36.

The square root of 71759142 is about 8471.0767910579. The cubic root of 71759142 is about 415.5523530065.

The spelling of 71759142 in words is "seventy-one million, seven hundred fifty-nine thousand, one hundred forty-two".