77734272 has 192 divisors, whose sum is σ = 260467200. Its totient is φ = 20106240.

The previous prime is 77734253. The next prime is 77734277. The reversal of 77734272 is 27243777.

It is a tau number, because it is divible by the number of its divisors (192).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 77734272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77734277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 325129 + ... + 325367.

It is an arithmetic number, because the mean of its divisors is an integer number (1356600).

Almost surely, 2^77734272 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 77734272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130233600).

77734272 is an abundant number, since it is smaller than the sum of its proper divisors (182732928).

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

77734272 is a wasteful number, since it uses less digits than its factorization.

77734272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 262 counting only the distinct ones).

The product of its digits is 115248, while the sum is 39.

The square root of 77734272 is about 8816.7041461081. The cubic root of 77734272 is about 426.7801174002.

The spelling of 77734272 in words is "seventy-seven million, seven hundred thirty-four thousand, two hundred seventy-two".