72635673 has 16 divisors (see below), whose sum is σ = 106197696. Its totient is φ = 43794240.

The previous prime is 72635671. The next prime is 72635677. The reversal of 72635673 is 37653627.

It is not a de Polignac number, because 72635673 - 2¹ = 72635671 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72635671) 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 15 ways as a sum of consecutive naturals, for example, 915 + ... + 12087.

It is an arithmetic number, because the mean of its divisors is an integer number (6637356).

Almost surely, 2^72635673 is an apocalyptic number.

It is an amenable number.

72635673 is a deficient number, since it is larger than the sum of its proper divisors (33562023).

72635673 is a wasteful number, since it uses less digits than its factorization.

72635673 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11384.

The product of its digits is 158760, while the sum is 39.

The square root of 72635673 is about 8522.6564520694. The cubic root of 72635673 is about 417.2374875731.

The spelling of 72635673 in words is "seventy-two million, six hundred thirty-five thousand, six hundred seventy-three".