71379 has 24 divisors (see below), whose sum is σ = 129792. Its totient is φ = 36720.

The previous prime is 71363. The next prime is 71387. The reversal of 71379 is 97317.

71379 = T₂₂ + T₂₃ + ... + T₇₅.

It is not a de Polignac number, because 71379 - 2⁴ = 71363 is a prime.

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

71379 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (71329) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 642 + ... + 744.

It is an arithmetic number, because the mean of its divisors is an integer number (5408).

2⁷¹³⁷⁹ is an apocalyptic number.

71379 is a deficient number, since it is larger than the sum of its proper divisors (58413).

71379 is a wasteful number, since it uses less digits than its factorization.

71379 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 124 counting only the distinct ones).

The product of its digits is 1323, while the sum is 27.

The square root of 71379 is about 267.1684861656. The cubic root of 71379 is about 41.4817261201.

The spelling of 71379 in words is "seventy-one thousand, three hundred seventy-nine".