1355072000 has 160 divisors (see below), whose sum is σ = 3493062144. Its totient is φ = 523776000.

The previous prime is 1355071999. The next prime is 1355072003. The reversal of 1355072000 is 2705531.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1355072003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1983659 + ... + 1984341.

Almost surely, 2^1355072000 is an apocalyptic number.

1355072000 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 1355072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1746531072).

1355072000 is an abundant number, since it is smaller than the sum of its proper divisors (2137990144).

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

1355072000 is an frugal number, since it uses more digits than its factorization.

1355072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 23.

The square root of 1355072000 is about 36811.3026121054. The cubic root of 1355072000 is about 1106.5918241026.

Adding to 1355072000 its reverse (2705531), we get a palindrome (1357777531).

The spelling of 1355072000 in words is "one billion, three hundred fifty-five million, seventy-two thousand".