72820097 has 4 divisors (see below), whose sum is σ = 83222976. Its totient is φ = 62417220.

The previous prime is 72820079. The next prime is 72820117. The reversal of 72820097 is 79002827.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 79002827 = 613 ⋅128879.

It is a cyclic number.

It is not a de Polignac number, because 72820097 - 2¹⁰ = 72819073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72820037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5201429 + ... + 5201442.

It is an arithmetic number, because the mean of its divisors is an integer number (20805744).

Almost surely, 2^72820097 is an apocalyptic number.

It is an amenable number.

72820097 is a deficient number, since it is larger than the sum of its proper divisors (10402879).

72820097 is a wasteful number, since it uses less digits than its factorization.

72820097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10402878.

The product of its (nonzero) digits is 14112, while the sum is 35.

The square root of 72820097 is about 8533.4692241784. The cubic root of 72820097 is about 417.5903150018.

The spelling of 72820097 in words is "seventy-two million, eight hundred twenty thousand, ninety-seven".