1424072000 has 112 divisors (see below), whose sum is σ = 3798277392. Its totient is φ = 525772800.

The previous prime is 1424071973. The next prime is 1424072003. The reversal of 1424072000 is 2704241.

It can be written as a sum of positive squares in 8 ways, for example, as 242362624 + 1181709376 = 15568^2 + 34376^2 .

It is a super-2 number, since 2×1424072000² = 4055962122368000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1424072003) 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 15 ways as a sum of consecutive naturals, for example, 97154 + ... + 110846.

It is an arithmetic number, because the mean of its divisors is an integer number (33913191).

Almost surely, 2^1424072000 is an apocalyptic number.

1424072000 is a gapful number since it is divisible by the number (10) 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 1424072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1899138696).

1424072000 is an abundant number, since it is smaller than the sum of its proper divisors (2374205392).

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

1424072000 is a wasteful number, since it uses less digits than its factorization.

1424072000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13733 (or 13713 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 20.

The square root of 1424072000 is about 37736.8785142598. The cubic root of 1424072000 is about 1125.0642267859.

Adding to 1424072000 its reverse (2704241), we get a palindrome (1426776241).

The spelling of 1424072000 in words is "one billion, four hundred twenty-four million, seventy-two thousand".