72537760 has 48 divisors (see below), whose sum is σ = 176016456. Its totient is φ = 28228608.

The previous prime is 72537749. The next prime is 72537823. The reversal of 72537760 is 6773527.

It can be written as a sum of positive squares in 4 ways, for example, as 68359824 + 4177936 = 8268^2 + 2044^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 207 + ... + 12046.

Almost surely, 2^72537760 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 72537760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88008228).

72537760 is an abundant number, since it is smaller than the sum of its proper divisors (103478696).

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

72537760 is a wasteful number, since it uses less digits than its factorization.

72537760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12305 (or 12297 counting only the distinct ones).

The product of its (nonzero) digits is 61740, while the sum is 37.

The square root of 72537760 is about 8516.9102378738. The cubic root of 72537760 is about 417.0499243422.

The spelling of 72537760 in words is "seventy-two million, five hundred thirty-seven thousand, seven hundred sixty".