72600540 has 96 divisors (see below), whose sum is σ = 217546560. Its totient is φ = 18026496.

The previous prime is 72600533. The next prime is 72600559. The reversal of 72600540 is 4500627.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 72600540.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110854 + ... + 111506.

It is an arithmetic number, because the mean of its divisors is an integer number (2266110).

Almost surely, 2^72600540 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 72600540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108773280).

72600540 is an abundant number, since it is smaller than the sum of its proper divisors (144946020).

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

72600540 is a wasteful number, since it uses less digits than its factorization.

72600540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791 (or 789 counting only the distinct ones).

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

The square root of 72600540 is about 8520.5950496430. The cubic root of 72600540 is about 417.1702058086.

The spelling of 72600540 in words is "seventy-two million, six hundred thousand, five hundred forty".