1272733920 has 144 divisors (see below), whose sum is σ = 4385882592. Its totient is φ = 336061440.

The previous prime is 1272733897. The next prime is 1272733937. The reversal of 1272733920 is 293372721.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1272733920² = 3239703262237132800, which contains 22 as substring.

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 144030 + ... + 152610.

It is an arithmetic number, because the mean of its divisors is an integer number (30457518).

Almost surely, 2^1272733920 is an apocalyptic number.

1272733920 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 1272733920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2192941296).

1272733920 is an abundant number, since it is smaller than the sum of its proper divisors (3113148672).

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

1272733920 is a wasteful number, since it uses less digits than its factorization.

1272733920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8705 (or 8694 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 1272733920 is about 35675.3965640187. The cubic root of 1272733920 is about 1083.7086493404.

The spelling of 1272733920 in words is "one billion, two hundred seventy-two million, seven hundred thirty-three thousand, nine hundred twenty".