72743827 has 8 divisors (see below), whose sum is σ = 80006976. Its totient is φ = 65718912.

The previous prime is 72743821. The next prime is 72743851. The reversal of 72743827 is 72834727.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72743827 - 2³ = 72743819 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 72743827.

It is not an unprimeable number, because it can be changed into a prime (72743821) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58918 + ... + 60139.

It is an arithmetic number, because the mean of its divisors is an integer number (10000872).

Almost surely, 2^72743827 is an apocalyptic number.

72743827 is a deficient number, since it is larger than the sum of its proper divisors (7263149).

72743827 is a wasteful number, since it uses less digits than its factorization.

72743827 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119117.

The product of its digits is 131712, while the sum is 40.

The square root of 72743827 is about 8528.9991792707. Note that the first 3 decimals coincide. The cubic root of 72743827 is about 417.4444727568. Note that the first 4 decimals are identical.

The spelling of 72743827 in words is "seventy-two million, seven hundred forty-three thousand, eight hundred twenty-seven".