72029169 has 45 divisors (see below), whose sum is σ = 115291099. Its totient is φ = 44811360.

The previous prime is 72029137. The next prime is 72029179. The reversal of 72029169 is 96192027.

The square root of 72029169 is 8487.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3470769 + 68558400 = 1863^2 + 8280^2 .

It is not a de Polignac number, because 72029169 - 2⁵ = 72029137 is a prime.

It is a super-2 number, since 2×72029169² = 10376402373661122, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72029179) 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 44 ways as a sum of consecutive naturals, for example, 1756789 + ... + 1756829.

Almost surely, 2^72029169 is an apocalyptic number.

72029169 is the 8487-th square number.

72029169 is the 4244-th centered octagonal number.

It is an amenable number.

72029169 is a deficient number, since it is larger than the sum of its proper divisors (43261930).

72029169 is an equidigital number, since it uses as much as digits as its factorization.

72029169 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The cubic root of 72029169 is about 416.0729366228.

Multiplying 72029169 by its sum of digits (36), we get a square (2593050084 = 50922²).

The spelling of 72029169 in words is "seventy-two million, twenty-nine thousand, one hundred sixty-nine".