77072000 has 64 divisors (see below), whose sum is σ = 191660040. Its totient is φ = 30822400.

The previous prime is 77071957. The next prime is 77072059. The reversal of 77072000 is 27077.

It can be written as a sum of positive squares in 4 ways, for example, as 8248384 + 68823616 = 2872^2 + 8296^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 13592 + ... + 18408.

Almost surely, 2^77072000 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 77072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95830020).

77072000 is an abundant number, since it is smaller than the sum of its proper divisors (114588040).

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

77072000 is an equidigital number, since it uses as much as digits as its factorization.

77072000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4846 (or 4824 counting only the distinct ones).

The product of its (nonzero) digits is 686, while the sum is 23.

The square root of 77072000 is about 8779.0660095479. The cubic root of 77072000 is about 425.5646474112.

Adding to 77072000 its reverse (27077), we get a palindrome (77099077).

The spelling of 77072000 in words is "seventy-seven million, seventy-two thousand".