77226272 has 48 divisors (see below), whose sum is σ = 159630912. Its totient is φ = 36706560.

The previous prime is 77226269. The next prime is 77226283. The reversal of 77226272 is 27262277.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 233147 + ... + 233477.

It is an arithmetic number, because the mean of its divisors is an integer number (3325644).

Almost surely, 2^77226272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77226272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79815456).

77226272 is an abundant number, since it is smaller than the sum of its proper divisors (82404640).

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

77226272 is a wasteful number, since it uses less digits than its factorization.

77226272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 673 counting only the distinct ones).

The product of its digits is 32928, while the sum is 35.

The square root of 77226272 is about 8787.8479731957. The cubic root of 77226272 is about 425.8484035228.

The spelling of 77226272 in words is "seventy-seven million, two hundred twenty-six thousand, two hundred seventy-two".