1772904672 has 576 divisors, whose sum is σ = 6784404480. Its totient is φ = 450696960.

The previous prime is 1772904659. The next prime is 1772904673. The reversal of 1772904672 is 2764092771.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1772904673) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 37721353 + ... + 37721399.

It is an arithmetic number, because the mean of its divisors is an integer number (11778480).

Almost surely, 2^1772904672 is an apocalyptic number.

1772904672 is a gapful number since it is divisible by the number (12) 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 1772904672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3392202240).

1772904672 is an abundant number, since it is smaller than the sum of its proper divisors (5011499808).

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

1772904672 is an equidigital number, since it uses as much as digits as its factorization.

1772904672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The square root of 1772904672 is about 42105.8745545084. The cubic root of 1772904672 is about 1210.3058380421.

The spelling of 1772904672 in words is "one billion, seven hundred seventy-two million, nine hundred four thousand, six hundred seventy-two".