72380256 has 96 divisors (see below), whose sum is σ = 208293120. Its totient is φ = 21871104.

The previous prime is 72380249. The next prime is 72380267. The reversal of 72380256 is 65208327.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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, 73141 + ... + 74123.

It is an arithmetic number, because the mean of its divisors is an integer number (2169720).

Almost surely, 2^72380256 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 72380256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104146560).

72380256 is an abundant number, since it is smaller than the sum of its proper divisors (135912864).

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

72380256 is a wasteful number, since it uses less digits than its factorization.

72380256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 72380256 is about 8507.6586673420. The cubic root of 72380256 is about 416.7478534776.

The spelling of 72380256 in words is "seventy-two million, three hundred eighty thousand, two hundred fifty-six".