77005472 has 36 divisors (see below), whose sum is σ = 158517450. Its totient is φ = 36820608.

The previous prime is 77005447. The next prime is 77005483. The reversal of 77005472 is 27450077.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 58308496 + 18696976 = 7636^2 + 4324^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14654 + ... + 19202.

Almost surely, 2^77005472 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 77005472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79258725).

77005472 is an abundant number, since it is smaller than the sum of its proper divisors (81511978).

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

77005472 is a wasteful number, since it uses less digits than its factorization.

77005472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4605 (or 4574 counting only the distinct ones).

The product of its (nonzero) digits is 13720, while the sum is 32.

The square root of 77005472 is about 8775.2761779901. The cubic root of 77005472 is about 425.4421640407.

It can be divided in two parts, 77005 and 472, that added together give a palindrome (77477).

The spelling of 77005472 in words is "seventy-seven million, five thousand, four hundred seventy-two".