72105969 has 64 divisors (see below), whose sum is σ = 116695040. Its totient is φ = 39191040.

The previous prime is 72105961. The next prime is 72105983. The reversal of 72105969 is 96950127.

It is not a de Polignac number, because 72105969 - 2³ = 72105961 is a prime.

It is a super-2 number, since 2×72105969² = 10398541530857922, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72105961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 987717 + ... + 987789.

It is an arithmetic number, because the mean of its divisors is an integer number (1823360).

Almost surely, 2^72105969 is an apocalyptic number.

It is an amenable number.

72105969 is a deficient number, since it is larger than the sum of its proper divisors (44589071).

72105969 is a wasteful number, since it uses less digits than its factorization.

72105969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182.

The product of its (nonzero) digits is 34020, while the sum is 39.

The square root of 72105969 is about 8491.5233615648. The cubic root of 72105969 is about 416.2207612320.

The spelling of 72105969 in words is "seventy-two million, one hundred five thousand, nine hundred sixty-nine".