1260072000 has 672 divisors, whose sum is σ = 5167603584. Its totient is φ = 290304000.

The previous prime is 1260071993. The next prime is 1260072013. The reversal of 1260072000 is 2700621.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29303979 + ... + 29304021.

Almost surely, 2^1260072000 is an apocalyptic number.

1260072000 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 1260072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2583801792).

1260072000 is an abundant number, since it is smaller than the sum of its proper divisors (3907531584).

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

1260072000 is a wasteful number, since it uses less digits than its factorization.

1260072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 1260072000 is about 35497.4928692154. The cubic root of 1260072000 is about 1080.1028708596.

Adding to 1260072000 its reverse (2700621), we get a palindrome (1262772621).

The spelling of 1260072000 in words is "one billion, two hundred sixty million, seventy-two thousand".