72528 has 20 divisors (see below), whose sum is σ = 187488. Its totient is φ = 24160.

The previous prime is 72503. The next prime is 72533. The reversal of 72528 is 82527.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 72498 and 72507.

It is a congruent number.

It is an unprimeable number.

72528 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 708 + ... + 803.

2⁷²⁵²⁸ is an apocalyptic number.

It is an amenable number.

72528 is an abundant number, since it is smaller than the sum of its proper divisors (114960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93744).

72528 is a wasteful number, since it uses less digits than its factorization.

72528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522 (or 1516 counting only the distinct ones).

The product of its digits is 1120, while the sum is 24.

The square root of 72528 is about 269.3102300322. The cubic root of 72528 is about 41.7031218729.

Subtracting 72528 from its reverse (82527), we obtain a palindrome (9999).

It can be divided in two parts, 7252 and 8, that added together give a triangular number (7260 = T₁₂₀).

The spelling of 72528 in words is "seventy-two thousand, five hundred twenty-eight".