72826782 has 64 divisors (see below), whose sum is σ = 172523520. Its totient is φ = 20064096.

The previous prime is 72826769. The next prime is 72826811. The reversal of 72826782 is 28762827.

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 (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 155713 + ... + 156179.

It is an arithmetic number, because the mean of its divisors is an integer number (2695680).

Almost surely, 2^72826782 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72826782, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86261760).

72826782 is an abundant number, since it is smaller than the sum of its proper divisors (99696738).

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

72826782 is a wasteful number, since it uses less digits than its factorization.

72826782 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605.

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

The square root of 72826782 is about 8533.8609081705. The cubic root of 72826782 is about 417.6030930945.

The spelling of 72826782 in words is "seventy-two million, eight hundred twenty-six thousand, seven hundred eighty-two".