783272 has 32 divisors (see below), whose sum is σ = 1710720. Its totient is φ = 329280.

The previous prime is 783269. The next prime is 783283. The reversal of 783272 is 272387.

It is a super-2 number, since 2×783272² = 1227030051968, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3878 + ... + 4074.

It is an arithmetic number, because the mean of its divisors is an integer number (53460).

2⁷⁸³²⁷² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 783272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855360).

783272 is an abundant number, since it is smaller than the sum of its proper divisors (927448).

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

783272 is a wasteful number, since it uses less digits than its factorization.

783272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 277 counting only the distinct ones).

The product of its digits is 4704, while the sum is 29.

The square root of 783272 is about 885.0265532740. The cubic root of 783272 is about 92.1801762065.

The spelling of 783272 in words is "seven hundred eighty-three thousand, two hundred seventy-two".