1675072224 has 480 divisors, whose sum is σ = 6117914880. Its totient is φ = 438939648.

The previous prime is 1675072207. The next prime is 1675072247. The reversal of 1675072224 is 4222705761.

It is a happy number.

1675072224 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14823592 + ... + 14823704.

It is an arithmetic number, because the mean of its divisors is an integer number (12745656).

Almost surely, 2^1675072224 is an apocalyptic number.

1675072224 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 1675072224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3058957440).

1675072224 is an abundant number, since it is smaller than the sum of its proper divisors (4442842656).

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

1675072224 is a wasteful number, since it uses less digits than its factorization.

1675072224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 1675072224 is about 40927.6462064458. The cubic root of 1675072224 is about 1187.6209381391.

Adding to 1675072224 its reverse (4222705761), we get a palindrome (5897777985).

The spelling of 1675072224 in words is "one billion, six hundred seventy-five million, seventy-two thousand, two hundred twenty-four".