72031127 has 6 divisors (see below), whose sum is σ = 83791368. Its totient is φ = 61740924.

The previous prime is 72031123. The next prime is 72031139. The reversal of 72031127 is 72113027.

It is not a de Polignac number, because 72031127 - 2² = 72031123 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72031123) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 734963 + ... + 735060.

It is an arithmetic number, because the mean of its divisors is an integer number (13965228).

Almost surely, 2^72031127 is an apocalyptic number.

72031127 is a deficient number, since it is larger than the sum of its proper divisors (11760241).

72031127 is a wasteful number, since it uses less digits than its factorization.

72031127 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1470037 (or 1470030 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 23.

The square root of 72031127 is about 8487.1153521087. The cubic root of 72031127 is about 416.0767066854.

The spelling of 72031127 in words is "seventy-two million, thirty-one thousand, one hundred twenty-seven".