72126327 has 24 divisors (see below), whose sum is σ = 119017344. Its totient is φ = 38042784.

The previous prime is 72126317. The next prime is 72126349. The reversal of 72126327 is 72362127.

It is not a de Polignac number, because 72126327 - 2⁷ = 72126199 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72126294 and 72126303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72126317) 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, 6613 + ... + 13710.

It is an arithmetic number, because the mean of its divisors is an integer number (4959056).

Almost surely, 2^72126327 is an apocalyptic number.

72126327 is a deficient number, since it is larger than the sum of its proper divisors (46891017).

72126327 is a wasteful number, since it uses less digits than its factorization.

72126327 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20359 (or 20346 counting only the distinct ones).

The product of its digits is 7056, while the sum is 30.

The square root of 72126327 is about 8492.7220018084. The cubic root of 72126327 is about 416.2599287011.

The spelling of 72126327 in words is "seventy-two million, one hundred twenty-six thousand, three hundred twenty-seven".