72652729 has 2 divisors, whose sum is σ = 72652730. Its totient is φ = 72652728.

The previous prime is 72652717. The next prime is 72652787. The reversal of 72652729 is 92725627.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 71014329 + 1638400 = 8427^2 + 1280^2 .

It is a cyclic number.

It is not a de Polignac number, because 72652729 - 2¹⁵ = 72619961 is a prime.

It is a super-2 number, since 2×72652729² = 10556838062294882, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 72652691 and 72652700.

It is not a weakly prime, because it can be changed into another prime (72652799) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36326364 + 36326365.

It is an arithmetic number, because the mean of its divisors is an integer number (36326365).

Almost surely, 2^72652729 is an apocalyptic number.

It is an amenable number.

72652729 is a deficient number, since it is larger than the sum of its proper divisors (1).

72652729 is an equidigital number, since it uses as much as digits as its factorization.

72652729 is an evil number, because the sum of its binary digits is even.

The product of its digits is 105840, while the sum is 40.

The square root of 72652729 is about 8523.6570203170. The cubic root of 72652729 is about 417.2701429950.

The spelling of 72652729 in words is "seventy-two million, six hundred fifty-two thousand, seven hundred twenty-nine".