72566540 has 48 divisors (see below), whose sum is σ = 164439072. Its totient is φ = 26797056.

The previous prime is 72566539. The next prime is 72566569. The reversal of 72566540 is 4566527.

It is a self number, because there is not a number n which added to its sum of digits gives 72566540.

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 15 ways as a sum of consecutive naturals, for example, 16007 + ... + 20033.

It is an arithmetic number, because the mean of its divisors is an integer number (3425814).

Almost surely, 2^72566540 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 72566540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82219536).

72566540 is an abundant number, since it is smaller than the sum of its proper divisors (91872532).

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

72566540 is a wasteful number, since it uses less digits than its factorization.

72566540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4106 (or 4104 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 35.

The square root of 72566540 is about 8518.5996501773. The cubic root of 72566540 is about 417.1050731354.

The spelling of 72566540 in words is "seventy-two million, five hundred sixty-six thousand, five hundred forty".