72159805 has 32 divisors (see below), whose sum is σ = 93417984. Its totient is φ = 53415936.

The previous prime is 72159799. The next prime is 72159823. The reversal of 72159805 is 50895127.

It is a cyclic number.

It is not a de Polignac number, because 72159805 - 2⁷ = 72159677 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 373789 + ... + 373981.

It is an arithmetic number, because the mean of its divisors is an integer number (2919312).

Almost surely, 2^72159805 is an apocalyptic number.

It is an amenable number.

72159805 is a deficient number, since it is larger than the sum of its proper divisors (21258179).

72159805 is a wasteful number, since it uses less digits than its factorization.

72159805 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325.

The product of its (nonzero) digits is 25200, while the sum is 37.

The square root of 72159805 is about 8494.6927548911. The cubic root of 72159805 is about 416.3243221754.

It can be divided in two parts, 7215 and 9805, that added together give a triangular number (17020 = T₁₈₄).

The spelling of 72159805 in words is "seventy-two million, one hundred fifty-nine thousand, eight hundred five".