781272 has 32 divisors (see below), whose sum is σ = 2170800. Its totient is φ = 260352.

The previous prime is 781271. The next prime is 781283. The reversal of 781272 is 272187.

It is a super-2 number, since 2×781272² = 1220771875968, which contains 22 as substring.

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

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (781271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1593 + ... + 2024.

2⁷⁸¹²⁷² is an apocalyptic number.

781272 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

781272 is an abundant number, since it is smaller than the sum of its proper divisors (1389528).

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

781272 is a wasteful number, since it uses less digits than its factorization.

781272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3632 (or 3622 counting only the distinct ones).

The product of its digits is 1568, while the sum is 27.

The square root of 781272 is about 883.8959214749. The cubic root of 781272 is about 92.1016519773.

The spelling of 781272 in words is "seven hundred eighty-one thousand, two hundred seventy-two".