1065372800 has 72 divisors (see below), whose sum is σ = 2636372835. Its totient is φ = 425410560.

The previous prime is 1065372793. The next prime is 1065372839. The reversal of 1065372800 is 82735601.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 1012257856 + 53114944 = 31816^2 + 7288^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=23080.

It is a super-2 number, since 2×1065372800² = 2270038405959680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1846112 + ... + 1846688.

Almost surely, 2^1065372800 is an apocalyptic number.

1065372800 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 1065372800

1065372800 is an abundant number, since it is smaller than the sum of its proper divisors (1571000035).

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

1065372800 is an frugal number, since it uses more digits than its factorization.

1065372800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 1065372800 is about 32640.0490195710. The cubic root of 1065372800 is about 1021.3326167753.

Multiplying 1065372800 by its sum of digits (32), we get a square (34091929600 = 184640²).

1065372800 divided by its sum of digits (32) gives a square (33292900 = 5770²).

The spelling of 1065372800 in words is "one billion, sixty-five million, three hundred seventy-two thousand, eight hundred".