72520 has 48 divisors (see below), whose sum is σ = 194940. Its totient is φ = 24192.

The previous prime is 72503. The next prime is 72533. The reversal of 72520 is 2527.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 70756 + 1764 = 266^2 + 42^2 .

It is a junction number, because it is equal to n+sod(n) for n = 72494 and 72503.

It is an unprimeable number.

72520 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 11 ways as a sum of consecutive naturals, for example, 1942 + ... + 1978.

2⁷²⁵²⁰ is an apocalyptic number.

72520 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97470).

72520 is an abundant number, since it is smaller than the sum of its proper divisors (122420).

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

72520 is a wasteful number, since it uses less digits than its factorization.

72520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 16.

The square root of 72520 is about 269.2953768634. The cubic root of 72520 is about 41.7015885008.

The spelling of 72520 in words is "seventy-two thousand, five hundred twenty".