72238127 has 16 divisors (see below), whose sum is σ = 79545312. Its totient is φ = 65197440.

The previous prime is 72238121. The next prime is 72238139. The reversal of 72238127 is 72183227.

It is a cyclic number.

It is not a de Polignac number, because 72238127 - 2¹⁰ = 72237103 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72238093 and 72238102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72238121) 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, 171377 + ... + 171797.

It is an arithmetic number, because the mean of its divisors is an integer number (4971582).

Almost surely, 2^72238127 is an apocalyptic number.

72238127 is a deficient number, since it is larger than the sum of its proper divisors (7307185).

72238127 is a wasteful number, since it uses less digits than its factorization.

72238127 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698.

The product of its digits is 9408, while the sum is 32.

The square root of 72238127 is about 8499.3015595401. The cubic root of 72238127 is about 416.4748933665.

The spelling of 72238127 in words is "seventy-two million, two hundred thirty-eight thousand, one hundred twenty-seven".