1072468800 has 504 divisors, whose sum is σ = 4359392856. Its totient is φ = 247726080.

The previous prime is 1072468781. The next prime is 1072468801. The reversal of 1072468800 is 88642701.

It can be written as a sum of positive squares in 12 ways, for example, as 447068736 + 625400064 = 21144^2 + 25008^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1072468801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3182232 + ... + 3182568.

It is an arithmetic number, because the mean of its divisors is an integer number (8649589).

Almost surely, 2^1072468800 is an apocalyptic number.

1072468800 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 1072468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2179696428).

1072468800 is an abundant number, since it is smaller than the sum of its proper divisors (3286924056).

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

1072468800 is a wasteful number, since it uses less digits than its factorization.

1072468800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 1072468800 is about 32748.5694344043. The cubic root of 1072468800 is about 1023.5951565332.

It can be divided in two parts, 10724 and 68800, that added together give a square (79524 = 282²).

The spelling of 1072468800 in words is "one billion, seventy-two million, four hundred sixty-eight thousand, eight hundred".