152729 has 2 divisors, whose sum is σ = 152730. Its totient is φ = 152728.

The previous prime is 152723. The next prime is 152753. The reversal of 152729 is 927251.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 104329 + 48400 = 323^2 + 220^2 .

It is a cyclic number.

It is not a de Polignac number, because 152729 - 2¹² = 148633 is a prime.

It is a super-2 number, since 2×152729² = 46652294882, which contains 22 as substring.

It is a Chen prime.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 152698 and 152707.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (152723) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 76364 + 76365.

It is an arithmetic number, because the mean of its divisors is an integer number (76365).

2¹⁵²⁷²⁹ is an apocalyptic number.

It is an amenable number.

152729 is a deficient number, since it is larger than the sum of its proper divisors (1).

152729 is an equidigital number, since it uses as much as digits as its factorization.

152729 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1260, while the sum is 26.

The square root of 152729 is about 390.8055782611. The cubic root of 152729 is about 53.4532155708.

It can be divided in two parts, 15 and 2729, that added together give a cube (2744 = 14³).

The spelling of 152729 in words is "one hundred fifty-two thousand, seven hundred twenty-nine".