72982849 has 3 divisors (see below), whose sum is σ = 72991393. Its totient is φ = 72974306.

The previous prime is 72982843. The next prime is 72982859. The reversal of 72982849 is 94828927.

The square root of 72982849 is 8543.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 94828927 = 29 ⋅3269963.

It is not a de Polignac number, because 72982849 - 2¹⁵ = 72950081 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72982843) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 4272 + ... + 12814.

Almost surely, 2^72982849 is an apocalyptic number.

72982849 is the 8543-rd square number.

72982849 is the 4272-nd centered octagonal number.

It is an amenable number.

72982849 is a deficient number, since it is larger than the sum of its proper divisors (8544).

72982849 is an frugal number, since it uses more digits than its factorization.

72982849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17086 (or 8543 counting only the distinct ones).

The product of its digits is 580608, while the sum is 49.

The cubic root of 72982849 is about 417.9011865510.

Multiplying 72982849 by its sum of digits (49), we get a square (3576159601 = 59801²).

The spelling of 72982849 in words is "seventy-two million, nine hundred eighty-two thousand, eight hundred forty-nine".