1272704400 has 300 divisors, whose sum is σ = 4984268784. Its totient is φ = 308448000.

The previous prime is 1272704347. The next prime is 1272704401. The reversal of 1272704400 is 44072721.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1272704401) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 354615 + ... + 358185.

Almost surely, 2^1272704400 is an apocalyptic number.

1272704400 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 1272704400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2492134392).

1272704400 is an abundant number, since it is smaller than the sum of its proper divisors (3711564384).

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

1272704400 is a wasteful number, since it uses less digits than its factorization.

1272704400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3612 (or 3592 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 1272704400 is about 35674.9828311101. The cubic root of 1272704400 is about 1083.7002707034.

The spelling of 1272704400 in words is "one billion, two hundred seventy-two million, seven hundred four thousand, four hundred".