72590129 has 4 divisors (see below), whose sum is σ = 72618084. Its totient is φ = 72562176.

The previous prime is 72590107. The next prime is 72590197. The reversal of 72590129 is 92109527.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 92109527 = 2311 ⋅39857.

It can be written as a sum of positive squares in 2 ways, for example, as 12061729 + 60528400 = 3473^2 + 7780^2 .

It is a cyclic number.

It is not a de Polignac number, because 72590129 - 2⁸ = 72589873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72590429) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9632 + ... + 15425.

It is an arithmetic number, because the mean of its divisors is an integer number (18154521).

Almost surely, 2^72590129 is an apocalyptic number.

It is an amenable number.

72590129 is a deficient number, since it is larger than the sum of its proper divisors (27955).

72590129 is a wasteful number, since it uses less digits than its factorization.

72590129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27954.

The product of its (nonzero) digits is 11340, while the sum is 35.

The square root of 72590129 is about 8519.9840962293. The cubic root of 72590129 is about 417.1502639614.

The spelling of 72590129 in words is "seventy-two million, five hundred ninety thousand, one hundred twenty-nine".