72532140 has 48 divisors (see below), whose sum is σ = 205117920. Its totient is φ = 19148800.

The previous prime is 72532121. The next prime is 72532151. The reversal of 72532140 is 4123527.

It is a super-2 number, since 2×72532140² = 10521822665959200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 72532140.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76 + ... + 12044.

It is an arithmetic number, because the mean of its divisors is an integer number (4273290).

Almost surely, 2^72532140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72532140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102558960).

72532140 is an abundant number, since it is smaller than the sum of its proper divisors (132585780).

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

72532140 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 13 representation: 72532140 = (12047235)₁₃.

72532140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12082 (or 12080 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 72532140 is about 8516.5802996273. The cubic root of 72532140 is about 417.0391534871.

Adding to 72532140 its reverse (4123527), we get a palindrome (76655667).

The spelling of 72532140 in words is "seventy-two million, five hundred thirty-two thousand, one hundred forty".