72007580 has 96 divisors (see below), whose sum is σ = 169646400. Its totient is φ = 25546752.

The previous prime is 72007571. The next prime is 72007589. The reversal of 72007580 is 8570027.

It is an interprime number because it is at equal distance from previous prime (72007571) and next prime (72007589).

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72007589) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 660566 + ... + 660674.

It is an arithmetic number, because the mean of its divisors is an integer number (1767150).

Almost surely, 2^72007580 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 72007580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84823200).

72007580 is an abundant number, since it is smaller than the sum of its proper divisors (97638820).

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

72007580 is a wasteful number, since it uses less digits than its factorization.

72007580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 29.

The square root of 72007580 is about 8485.7280182669. The cubic root of 72007580 is about 416.0313632049.

The spelling of 72007580 in words is "seventy-two million, seven thousand, five hundred eighty".