73782306 has 64 divisors (see below), whose sum is σ = 179571840. Its totient is φ = 22317120.

The previous prime is 73782271. The next prime is 73782311. The reversal of 73782306 is 60328737.

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, 41961 + ... + 43683.

It is an arithmetic number, because the mean of its divisors is an integer number (2805810).

Almost surely, 2^73782306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73782306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89785920).

73782306 is an abundant number, since it is smaller than the sum of its proper divisors (105789534).

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

73782306 is a wasteful number, since it uses less digits than its factorization.

73782306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1808 (or 1802 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 73782306 is about 8589.6627407600. The cubic root of 73782306 is about 419.4215506291.

It can be divided in two parts, 73782 and 306, that added together give a cube (74088 = 42³).

The spelling of 73782306 in words is "seventy-three million, seven hundred eighty-two thousand, three hundred six".