71842464 has 72 divisors (see below), whose sum is σ = 211891680. Its totient is φ = 23944896.

The previous prime is 71842457. The next prime is 71842481. The reversal of 71842464 is 46424817.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×71842464² = 10322679267182592, which contains 22 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 an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3157 + ... + 12395.

It is an arithmetic number, because the mean of its divisors is an integer number (2942940).

Almost surely, 2^71842464 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 71842464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105945840).

71842464 is an abundant number, since it is smaller than the sum of its proper divisors (140049216).

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

71842464 is an equidigital number, since it uses as much as digits as its factorization.

71842464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9264 (or 9244 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 71842464 is about 8475.9933931074. The cubic root of 71842464 is about 415.7131281567.

The spelling of 71842464 in words is "seventy-one million, eight hundred forty-two thousand, four hundred sixty-four".