72580129 has 4 divisors (see below), whose sum is σ = 72597184. Its totient is φ = 72563076.

The previous prime is 72580121. The next prime is 72580139. The reversal of 72580129 is 92108527.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 92108527 = 7 ⋅13158361.

It is a cyclic number.

It is not a de Polignac number, because 72580129 - 2³ = 72580121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72580094 and 72580103.

It is not an unprimeable number, because it can be changed into a prime (72580121) 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, 3724 + ... + 12610.

It is an arithmetic number, because the mean of its divisors is an integer number (18149296).

Almost surely, 2^72580129 is an apocalyptic number.

It is an amenable number.

72580129 is a deficient number, since it is larger than the sum of its proper divisors (17055).

72580129 is an equidigital number, since it uses as much as digits as its factorization.

72580129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17054.

The product of its (nonzero) digits is 10080, while the sum is 34.

The square root of 72580129 is about 8519.3972204611. The cubic root of 72580129 is about 417.1311075726.

The spelling of 72580129 in words is "seventy-two million, five hundred eighty thousand, one hundred twenty-nine".