1052672200 has 96 divisors (see below), whose sum is σ = 2646259200. Its totient is φ = 388074240.

The previous prime is 1052672183. The next prime is 1052672209. The reversal of 1052672200 is 22762501.

1052672200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1052672200² = 2216237521305680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (1052672209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136857 + ... + 144343.

It is an arithmetic number, because the mean of its divisors is an integer number (27565200).

Almost surely, 2^1052672200 is an apocalyptic number.

1052672200 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 1052672200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1323129600).

1052672200 is an abundant number, since it is smaller than the sum of its proper divisors (1593587000).

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

1052672200 is a wasteful number, since it uses less digits than its factorization.

1052672200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7559 (or 7550 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 1052672200 is about 32444.9102325773. The cubic root of 1052672200 is about 1017.2578531813.

The spelling of 1052672200 in words is "one billion, fifty-two million, six hundred seventy-two thousand, two hundred".