77242752 has 96 divisors (see below), whose sum is σ = 234039000. Its totient is φ = 24385536.

The previous prime is 77242751. The next prime is 77242757. The reversal of 77242752 is 25724277.

It is a tau number, because it is divible by the number of its divisors (96).

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 (77242751) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20124 + ... + 23652.

Almost surely, 2^77242752 is an apocalyptic number.

77242752 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 77242752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117019500).

77242752 is an abundant number, since it is smaller than the sum of its proper divisors (156796248).

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

77242752 is a wasteful number, since it uses less digits than its factorization.

77242752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3568 (or 3553 counting only the distinct ones).

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

The square root of 77242752 is about 8788.7855816375. The cubic root of 77242752 is about 425.8786932259.

It can be divided in two parts, 7724275 and 2, that added together give a palindrome (7724277).

The spelling of 77242752 in words is "seventy-seven million, two hundred forty-two thousand, seven hundred fifty-two".