1072164000 has 192 divisors, whose sum is σ = 3589028352. Its totient is φ = 279680000.

The previous prime is 1072163969. The next prime is 1072164011. The reversal of 1072164000 is 4612701.

It is a super-2 number, since 2×1072164000² = 2299071285792000000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 563050 + ... + 564950.

It is an arithmetic number, because the mean of its divisors is an integer number (18692856).

Almost surely, 2^1072164000 is an apocalyptic number.

1072164000 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 1072164000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1794514176).

1072164000 is an abundant number, since it is smaller than the sum of its proper divisors (2516864352).

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

1072164000 is a wasteful number, since it uses less digits than its factorization.

1072164000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1976 (or 1958 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 1072164000 is about 32743.9154653197. The cubic root of 1072164000 is about 1023.4981773749.

Adding to 1072164000 its reverse (4612701), we get a palindrome (1076776701).

The spelling of 1072164000 in words is "one billion, seventy-two million, one hundred sixty-four thousand".