72846774 has 144 divisors (see below), whose sum is σ = 213767424. Its totient is φ = 17409600.

The previous prime is 72846743. The next prime is 72846793. The reversal of 72846774 is 47764827.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 234079 + ... + 234389.

It is an arithmetic number, because the mean of its divisors is an integer number (1484496).

Almost surely, 2^72846774 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72846774, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106883712).

72846774 is an abundant number, since it is smaller than the sum of its proper divisors (140920650).

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

72846774 is a wasteful number, since it uses less digits than its factorization.

72846774 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 347 counting only the distinct ones).

The product of its digits is 526848, while the sum is 45.

The square root of 72846774 is about 8535.0321616266. The cubic root of 72846774 is about 417.6413022852.

The spelling of 72846774 in words is "seventy-two million, eight hundred forty-six thousand, seven hundred seventy-four".