72766050 has 96 divisors (see below), whose sum is σ = 211926912. Its totient is φ = 16174080.

The previous prime is 72766039. The next prime is 72766063. The reversal of 72766050 is 5066727.

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 47 ways as a sum of consecutive naturals, for example, 37914 + ... + 39786.

It is an arithmetic number, because the mean of its divisors is an integer number (2207572).

Almost surely, 2^72766050 is an apocalyptic number.

72766050 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 72766050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105963456).

72766050 is an abundant number, since it is smaller than the sum of its proper divisors (139160862).

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

72766050 is a wasteful number, since it uses less digits than its factorization.

72766050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1932 (or 1927 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 33.

The square root of 72766050 is about 8530.3018703912. The cubic root of 72766050 is about 417.4869777334.

The spelling of 72766050 in words is "seventy-two million, seven hundred sixty-six thousand, fifty".