77020272 has 120 divisors (see below), whose sum is σ = 248957280. Its totient is φ = 21772800.

The previous prime is 77020253. The next prime is 77020283. The reversal of 77020272 is 27202077.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109522 + ... + 110222.

It is an arithmetic number, because the mean of its divisors is an integer number (2074644).

Almost surely, 2^77020272 is an apocalyptic number.

77020272 is a gapful number since it is divisible by the number (72) 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 77020272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124478640).

77020272 is an abundant number, since it is smaller than the sum of its proper divisors (171937008).

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

77020272 is a wasteful number, since it uses less digits than its factorization.

77020272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 2744, while the sum is 27.

The square root of 77020272 is about 8776.1194157783. The cubic root of 77020272 is about 425.4694181241.

The spelling of 77020272 in words is "seventy-seven million, twenty thousand, two hundred seventy-two".