72632129 has 2 divisors, whose sum is σ = 72632130. Its totient is φ = 72632128.

The previous prime is 72632093. The next prime is 72632149. The reversal of 72632129 is 92123627.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 42601729 + 30030400 = 6527^2 + 5480^2 .

It is an emirp because it is prime and its reverse (92123627) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72632129 - 2²⁴ = 55854913 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72632095 and 72632104.

It is not a weakly prime, because it can be changed into another prime (72632149) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36316064 + 36316065.

It is an arithmetic number, because the mean of its divisors is an integer number (36316065).

Almost surely, 2^72632129 is an apocalyptic number.

It is an amenable number.

72632129 is a deficient number, since it is larger than the sum of its proper divisors (1).

72632129 is an equidigital number, since it uses as much as digits as its factorization.

72632129 is an evil number, because the sum of its binary digits is even.

The product of its digits is 9072, while the sum is 32.

The square root of 72632129 is about 8522.4485331388. The cubic root of 72632129 is about 417.2307015883.

The spelling of 72632129 in words is "seventy-two million, six hundred thirty-two thousand, one hundred twenty-nine".