1051272000 has 448 divisors, whose sum is σ = 4006778880. Its totient is φ = 269568000.

The previous prime is 1051271999. The next prime is 1051272007. The reversal of 1051272000 is 2721501.

It is a super-2 number, since 2×1051272000² = 2210345635968000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1051272007) 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 63 ways as a sum of consecutive naturals, for example, 6695922 + ... + 6696078.

Almost surely, 2^1051272000 is an apocalyptic number.

1051272000 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 1051272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2003389440).

1051272000 is an abundant number, since it is smaller than the sum of its proper divisors (2955506880).

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

1051272000 is a wasteful number, since it uses less digits than its factorization.

1051272000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 1051272000 is about 32423.3249374582. The cubic root of 1051272000 is about 1016.8066217194.

Adding to 1051272000 its reverse (2721501), we get a palindrome (1053993501).

The spelling of 1051272000 in words is "one billion, fifty-one million, two hundred seventy-two thousand".