72673497 has 32 divisors (see below), whose sum is σ = 116645760. Its totient is φ = 44452800.

The previous prime is 72673481. The next prime is 72673529. The reversal of 72673497 is 79437627.

It is a happy number.

It is not a de Polignac number, because 72673497 - 2⁴ = 72673481 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72673417) 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 31 ways as a sum of consecutive naturals, for example, 68622 + ... + 69672.

It is an arithmetic number, because the mean of its divisors is an integer number (3645180).

Almost surely, 2^72673497 is an apocalyptic number.

It is an amenable number.

72673497 is a deficient number, since it is larger than the sum of its proper divisors (43972263).

72673497 is a wasteful number, since it uses less digits than its factorization.

72673497 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270 (or 1264 counting only the distinct ones).

The product of its digits is 444528, while the sum is 45.

The square root of 72673497 is about 8524.8751897022. The cubic root of 72673497 is about 417.3098985135.

The spelling of 72673497 in words is "seventy-two million, six hundred seventy-three thousand, four hundred ninety-seven".