1056072700 has 72 divisors (see below), whose sum is σ = 2415782880. Its totient is φ = 400108800.

The previous prime is 1056072679. The next prime is 1056072701. The reversal of 1056072700 is 72706501.

It is a super-2 number, since 2×1056072700² = 2230579095370580000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1056072701) 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, 150265 + ... + 157135.

It is an arithmetic number, because the mean of its divisors is an integer number (33552540).

Almost surely, 2^1056072700 is an apocalyptic number.

1056072700 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 1056072700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1207891440).

1056072700 is an abundant number, since it is smaller than the sum of its proper divisors (1359710180).

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

1056072700 is a wasteful number, since it uses less digits than its factorization.

1056072700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6967 (or 6960 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 28.

The square root of 1056072700 is about 32497.2721932165. The cubic root of 1056072700 is about 1018.3520422386.

The spelling of 1056072700 in words is "one billion, fifty-six million, seventy-two thousand, seven hundred".