1272432000 has 384 divisors, whose sum is σ = 4915853280. Its totient is φ = 290304000.

The previous prime is 1272431989. The next prime is 1272432011. The reversal of 1272432000 is 2342721.

It is an interprime number because it is at equal distance from previous prime (1272431989) and next prime (1272432011).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2351730 + ... + 2352270.

Almost surely, 2^1272432000 is an apocalyptic number.

1272432000 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 1272432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2457926640).

1272432000 is an abundant number, since it is smaller than the sum of its proper divisors (3643421280).

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

1272432000 is an equidigital number, since it uses as much as digits as its factorization.

1272432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 1272432000 is about 35671.1648253880. The cubic root of 1272432000 is about 1083.6229495236.

Adding to 1272432000 its reverse (2342721), we get a palindrome (1274774721).

The spelling of 1272432000 in words is "one billion, two hundred seventy-two million, four hundred thirty-two thousand".