72164429 has 4 divisors (see below), whose sum is σ = 73526076. Its totient is φ = 70802784.

The previous prime is 72164423. The next prime is 72164459. The reversal of 72164429 is 92446127.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 92446127 = 421 ⋅219587.

It can be written as a sum of positive squares in 2 ways, for example, as 22108804 + 50055625 = 4702^2 + 7075^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72164429 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72164423) 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 3 ways as a sum of consecutive naturals, for example, 680744 + ... + 680849.

It is an arithmetic number, because the mean of its divisors is an integer number (18381519).

Almost surely, 2^72164429 is an apocalyptic number.

It is an amenable number.

72164429 is a deficient number, since it is larger than the sum of its proper divisors (1361647).

72164429 is a wasteful number, since it uses less digits than its factorization.

72164429 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1361646.

The product of its digits is 24192, while the sum is 35.

The square root of 72164429 is about 8494.9649204691. The cubic root of 72164429 is about 416.3332146724. Note that the first 3 decimals are identical.

The spelling of 72164429 in words is "seventy-two million, one hundred sixty-four thousand, four hundred twenty-nine".