1642272000 has 144 divisors (see below), whose sum is σ = 5455125312. Its totient is φ = 437913600.

The previous prime is 1642271993. The next prime is 1642272007. The reversal of 1642272000 is 2722461.

It is an interprime number because it is at equal distance from previous prime (1642271993) and next prime (1642272007).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1642272007) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 87447 + ... + 104553.

Almost surely, 2^1642272000 is an apocalyptic number.

1642272000 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 1642272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2727562656).

1642272000 is an abundant number, since it is smaller than the sum of its proper divisors (3812853312).

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

1642272000 is an equidigital number, since it uses as much as digits as its factorization.

1642272000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17141 (or 17117 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 1642272000 is about 40524.9552744972. The cubic root of 1642272000 is about 1179.8180318846.

Adding to 1642272000 its reverse (2722461), we get a palindrome (1644994461).

The spelling of 1642272000 in words is "one billion, six hundred forty-two million, two hundred seventy-two thousand".