71841960 has 96 divisors (see below), whose sum is σ = 234903240. Its totient is φ = 19041792.

The previous prime is 71841953. The next prime is 71841971. The reversal of 71841960 is 6914817.

It can be written as a sum of positive squares in 4 ways, for example, as 54552996 + 17288964 = 7386^2 + 4158^2 .

It is a super-2 number, since 2×71841960² = 10322534433283200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70414 + ... + 71426.

Almost surely, 2^71841960 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 71841960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117451620).

71841960 is an abundant number, since it is smaller than the sum of its proper divisors (163061280).

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

71841960 is a wasteful number, since it uses less digits than its factorization.

71841960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1227 (or 1220 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 71841960 is about 8475.9636620269. The cubic root of 71841960 is about 415.7121560302.

The spelling of 71841960 in words is "seventy-one million, eight hundred forty-one thousand, nine hundred sixty".