71742816 has 36 divisors (see below), whose sum is σ = 204019452. Its totient is φ = 23914176.

The previous prime is 71742809. The next prime is 71742817. The reversal of 71742816 is 61824717.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×71742816³ (a number of 25 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71742817) 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 5 ways as a sum of consecutive naturals, for example, 124266 + ... + 124841.

It is an arithmetic number, because the mean of its divisors is an integer number (5667207).

Almost surely, 2^71742816 is an apocalyptic number.

It is an amenable number.

71742816 is an abundant number, since it is smaller than the sum of its proper divisors (132276636).

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

71742816 is a wasteful number, since it uses less digits than its factorization.

71742816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249123 (or 249112 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

The square root of 71742816 is about 8470.1131043216. The cubic root of 71742816 is about 415.5208363612.

The spelling of 71742816 in words is "seventy-one million, seven hundred forty-two thousand, eight hundred sixteen".