1272744900 has 180 divisors, whose sum is σ = 4715337088. Its totient is φ = 290900160.

The previous prime is 1272744881. The next prime is 1272744901. The reversal of 1272744900 is 94472721.

It is a tau number, because it is divible by the number of its divisors (180).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1272744901) 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, 45477 + ... + 67923.

Almost surely, 2^1272744900 is an apocalyptic number.

1272744900 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 1272744900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2357668544).

1272744900 is an abundant number, since it is smaller than the sum of its proper divisors (3442592188).

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

1272744900 is a wasteful number, since it uses less digits than its factorization.

1272744900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22480 (or 22464 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 1272744900 is about 35675.5504512544. The cubic root of 1272744900 is about 1083.7117657516.

The spelling of 1272744900 in words is "one billion, two hundred seventy-two million, seven hundred forty-four thousand, nine hundred".