1056730752 has 576 divisors, whose sum is σ = 4134916800. Its totient is φ = 260029440.

The previous prime is 1056730729. The next prime is 1056730783. The reversal of 1056730752 is 2570376501.

1056730752 is a `hidden beast` number, since 10 + 567 + 30 + 7 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×1056730752² = 2233359764444971008, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 55617399 + ... + 55617417.

It is an arithmetic number, because the mean of its divisors is an integer number (7178675).

Almost surely, 2^1056730752 is an apocalyptic number.

1056730752 is a gapful number since it is divisible by the number (12) 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 1056730752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2067458400).

1056730752 is an abundant number, since it is smaller than the sum of its proper divisors (3078186048).

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

1056730752 is a wasteful number, since it uses less digits than its factorization.

1056730752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The square root of 1056730752 is about 32507.3953432138. The cubic root of 1056730752 is about 1018.5635142512.

The spelling of 1056730752 in words is "one billion, fifty-six million, seven hundred thirty thousand, seven hundred fifty-two".