71720127 has 16 divisors (see below), whose sum is σ = 112502880. Its totient is φ = 45000576.

The previous prime is 71720119. The next prime is 71720137. The reversal of 71720127 is 72102717.

It is not a de Polignac number, because 71720127 - 2³ = 71720119 is a prime.

It is a super-2 number, since 2×71720127² = 10287553233792258, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 71720127.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71720137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77668 + ... + 78585.

It is an arithmetic number, because the mean of its divisors is an integer number (7031430).

Almost surely, 2^71720127 is an apocalyptic number.

71720127 is a deficient number, since it is larger than the sum of its proper divisors (40782753).

71720127 is a wasteful number, since it uses less digits than its factorization.

71720127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156279 (or 156273 counting only the distinct ones).

The product of its (nonzero) digits is 1372, while the sum is 27.

The square root of 71720127 is about 8468.7736420334. The cubic root of 71720127 is about 415.4770282755.

The spelling of 71720127 in words is "seventy-one million, seven hundred twenty thousand, one hundred twenty-seven".