72635081 has 16 divisors (see below), whose sum is σ = 80179200. Its totient is φ = 65493648.

The previous prime is 72635051. The next prime is 72635083. The reversal of 72635081 is 18053627.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 72635081 - 2²⁶ = 5526217 is a prime.

It is a super-2 number, since 2×72635081² = 10551709983753122, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (72635083) 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, 151400 + ... + 151878.

It is an arithmetic number, because the mean of its divisors is an integer number (5011200).

Almost surely, 2^72635081 is an apocalyptic number.

It is an amenable number.

72635081 is a deficient number, since it is larger than the sum of its proper divisors (7544119).

72635081 is a wasteful number, since it uses less digits than its factorization.

72635081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868.

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 72635081 is about 8522.6217210434. The cubic root of 72635081 is about 417.2363540379.

The spelling of 72635081 in words is "seventy-two million, six hundred thirty-five thousand, eighty-one".