72816468 has 24 divisors (see below), whose sum is σ = 171557568. Its totient is φ = 24036096.

The previous prime is 72816467. The next prime is 72816479. The reversal of 72816468 is 86461827.

72816468 is nontrivially palindromic in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72816467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28221 + ... + 30692.

It is an arithmetic number, because the mean of its divisors is an integer number (7148232).

Almost surely, 2^72816468 is an apocalyptic number.

It is an amenable number.

72816468 is an abundant number, since it is smaller than the sum of its proper divisors (98741100).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72816468 is a wasteful number, since it uses less digits than its factorization.

72816468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59023 (or 59021 counting only the distinct ones).

The product of its digits is 129024, while the sum is 42.

The square root of 72816468 is about 8533.2565881966. The cubic root of 72816468 is about 417.5833779955.

The spelling of 72816468 in words is "seventy-two million, eight hundred sixteen thousand, four hundred sixty-eight".