71839872 has 240 divisors, whose sum is σ = 237151530. Its totient is φ = 21565440.

The previous prime is 71839847. The next prime is 71839877. The reversal of 71839872 is 27893817.

It can be written as a sum of positive squares in 3 ways, for example, as 16842816 + 54997056 = 4104^2 + 7416^2 .

It is not an unprimeable number, because it can be changed into a prime (71839877) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1752172 + ... + 1752212.

Almost surely, 2^71839872 is an apocalyptic number.

71839872 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71839872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118575765).

71839872 is an abundant number, since it is smaller than the sum of its proper divisors (165311658).

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

71839872 is a wasteful number, since it uses less digits than its factorization.

71839872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 59 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The square root of 71839872 is about 8475.8404892966. The cubic root of 71839872 is about 415.7081286002.

The spelling of 71839872 in words is "seventy-one million, eight hundred thirty-nine thousand, eight hundred seventy-two".