72206784 has 84 divisors (see below), whose sum is σ = 222911416. Its totient is φ = 22215168.

The previous prime is 72206779. The next prime is 72206831. The reversal of 72206784 is 48760227.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 2667 + ... + 12309.

Almost surely, 2^72206784 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 72206784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111455708).

72206784 is an abundant number, since it is smaller than the sum of its proper divisors (150704632).

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

72206784 is a wasteful number, since it uses less digits than its factorization.

72206784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9674 (or 9661 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 72206784 is about 8497.4575021003. The cubic root of 72206784 is about 416.4146506595.

The spelling of 72206784 in words is "seventy-two million, two hundred six thousand, seven hundred eighty-four".