76223136 has 192 divisors, whose sum is σ = 239500800. Its totient is φ = 20966400.

The previous prime is 76223129. The next prime is 76223167. The reversal of 76223136 is 63132267.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 581791 + ... + 581921.

It is an arithmetic number, because the mean of its divisors is an integer number (1247400).

Almost surely, 2^76223136 is an apocalyptic number.

76223136 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76223136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119750400).

76223136 is an abundant number, since it is smaller than the sum of its proper divisors (163277664).

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

76223136 is a wasteful number, since it uses less digits than its factorization.

76223136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 195 counting only the distinct ones).

The product of its digits is 9072, while the sum is 30.

The square root of 76223136 is about 8730.5862346122. The cubic root of 76223136 is about 423.9964993184.

It can be divided in two parts, 762231 and 36, that added together give a palindrome (762267).

The spelling of 76223136 in words is "seventy-six million, two hundred twenty-three thousand, one hundred thirty-six".