77542272 has 128 divisors (see below), whose sum is σ = 232519200. Its totient is φ = 25754112.

The previous prime is 77542271. The next prime is 77542291. The reversal of 77542272 is 27224577.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77542271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 279798 + ... + 280074.

Almost surely, 2^77542272 is an apocalyptic number.

77542272 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 77542272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116259600).

77542272 is an abundant number, since it is smaller than the sum of its proper divisors (154976928).

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

77542272 is an frugal number, since it uses more digits than its factorization.

77542272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 282 counting only the distinct ones).

The product of its digits is 54880, while the sum is 36.

The square root of 77542272 is about 8805.8089917963. The cubic root of 77542272 is about 426.4284520953.

The spelling of 77542272 in words is "seventy-seven million, five hundred forty-two thousand, two hundred seventy-two".