72086784 has 288 divisors, whose sum is σ = 254306304. Its totient is φ = 17571840.

The previous prime is 72086771. The next prime is 72086809. The reversal of 72086784 is 48768027.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 31 ways as a sum of consecutive naturals, for example, 1360102 + ... + 1360154.

It is an arithmetic number, because the mean of its divisors is an integer number (883008).

Almost surely, 2^72086784 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 72086784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127153152).

72086784 is an abundant number, since it is smaller than the sum of its proper divisors (182219520).

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

72086784 is a wasteful number, since it uses less digits than its factorization.

72086784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The square root of 72086784 is about 8490.3936304508. The cubic root of 72086784 is about 416.1838437909.

The spelling of 72086784 in words is "seventy-two million, eighty-six thousand, seven hundred eighty-four".