72818971 has 8 divisors (see below), whose sum is σ = 76240080. Its totient is φ = 69458592.

The previous prime is 72818959. The next prime is 72818981. The reversal of 72818971 is 17981827.

It is a happy number.

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 72818971 - 2¹⁷ = 72687899 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72818981) 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, 12720 + ... + 17533.

It is an arithmetic number, because the mean of its divisors is an integer number (9530010).

Almost surely, 2^72818971 is an apocalyptic number.

72818971 is a deficient number, since it is larger than the sum of its proper divisors (3421109).

72818971 is a wasteful number, since it uses less digits than its factorization.

72818971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30365.

The product of its digits is 56448, while the sum is 43.

The square root of 72818971 is about 8533.4032484115. The cubic root of 72818971 is about 417.5881626239.

The spelling of 72818971 in words is "seventy-two million, eight hundred eighteen thousand, nine hundred seventy-one".