72165611 has 16 divisors (see below), whose sum is σ = 84185088. Its totient is φ = 60588000.

The previous prime is 72165581. The next prime is 72165637. The reversal of 72165611 is 11656127.

It is a cyclic number.

It is not a de Polignac number, because 72165611 - 2⁶ = 72165547 is a prime.

It is a super-2 number, since 2×72165611² = 10415750822006642, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72165641) 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 15 ways as a sum of consecutive naturals, for example, 72326 + ... + 73316.

It is an arithmetic number, because the mean of its divisors is an integer number (5261568).

Almost surely, 2^72165611 is an apocalyptic number.

72165611 is a deficient number, since it is larger than the sum of its proper divisors (12019477).

72165611 is a wasteful number, since it uses less digits than its factorization.

72165611 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202.

The product of its digits is 2520, while the sum is 29.

The square root of 72165611 is about 8495.0344908070. The cubic root of 72165611 is about 416.3354877368.

The spelling of 72165611 in words is "seventy-two million, one hundred sixty-five thousand, six hundred eleven".