72529 has 8 divisors (see below), whose sum is σ = 78120. Its totient is φ = 67200.

The previous prime is 72503. The next prime is 72533. The reversal of 72529 is 92527.

It can be written as a sum of positive squares in 4 ways, for example, as 2304 + 70225 = 48^2 + 265^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72529 - 2⁵ = 72497 is a prime.

It is a d-powerful number, because it can be written as 7³ + 2⁶ + 5² + 2¹⁶ + 9⁴ .

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72559) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1159 + ... + 1219.

It is an arithmetic number, because the mean of its divisors is an integer number (9765).

2⁷²⁵²⁹ is an apocalyptic number.

It is an amenable number.

72529 is a deficient number, since it is larger than the sum of its proper divisors (5591).

72529 is a wasteful number, since it uses less digits than its factorization.

72529 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131.

The product of its digits is 1260, while the sum is 25.

The square root of 72529 is about 269.3120866207. The cubic root of 72529 is about 41.7033135365.

It can be divided in two parts, 725 and 29, that multiplied together give a square (21025 = 145²).

The spelling of 72529 in words is "seventy-two thousand, five hundred twenty-nine".