72259516 has 36 divisors (see below), whose sum is σ = 147690648. Its totient is φ = 30844128.

The previous prime is 72259501. The next prime is 72259519. The reversal of 72259516 is 61595227.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72259519) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61551 + ... + 62713.

It is an arithmetic number, because the mean of its divisors is an integer number (4102518).

Almost surely, 2^72259516 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 72259516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73845324).

72259516 is an abundant number, since it is smaller than the sum of its proper divisors (75431132).

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

72259516 is a wasteful number, since it uses less digits than its factorization.

72259516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1498 (or 1489 counting only the distinct ones).

The product of its digits is 37800, while the sum is 37.

The square root of 72259516 is about 8500.5597462755. The cubic root of 72259516 is about 416.5159940190.

The spelling of 72259516 in words is "seventy-two million, two hundred fifty-nine thousand, five hundred sixteen".