1772124144 has 80 divisors (see below), whose sum is σ = 5239521792. Its totient is φ = 505592064.

The previous prime is 1772124113. The next prime is 1772124173. The reversal of 1772124144 is 4414212771.

1772124144 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1772124144³ (a number of 29 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 256317 + ... + 263139.

Almost surely, 2^1772124144 is an apocalyptic number.

1772124144 is a gapful number since it is divisible by the number (14) 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 1772124144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2619760896).

1772124144 is an abundant number, since it is smaller than the sum of its proper divisors (3467397648).

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

1772124144 is a wasteful number, since it uses less digits than its factorization.

1772124144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7614 (or 7608 counting only the distinct ones).

The product of its digits is 12544, while the sum is 33.

The square root of 1772124144 is about 42096.6048987326. The cubic root of 1772124144 is about 1210.1281980602.

The spelling of 1772124144 in words is "one billion, seven hundred seventy-two million, one hundred twenty-four thousand, one hundred forty-four".