72167827 has 4 divisors (see below), whose sum is σ = 72687160. Its totient is φ = 71648496.

The previous prime is 72167807. The next prime is 72167869. The reversal of 72167827 is 72876127.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 72167827 - 2⁷ = 72167699 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 72167827.

It is not an unprimeable number, because it can be changed into a prime (72167807) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 259458 + ... + 259735.

It is an arithmetic number, because the mean of its divisors is an integer number (18171790).

Almost surely, 2^72167827 is an apocalyptic number.

72167827 is a deficient number, since it is larger than the sum of its proper divisors (519333).

72167827 is a wasteful number, since it uses less digits than its factorization.

72167827 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519332.

The product of its digits is 65856, while the sum is 40.

The square root of 72167827 is about 8495.1649189407. The cubic root of 72167827 is about 416.3397491848.

The spelling of 72167827 in words is "seventy-two million, one hundred sixty-seven thousand, eight hundred twenty-seven".