782332272 has 60 divisors (see below), whose sum is σ = 2198626144. Its totient is φ = 259683840.

The previous prime is 782332261. The next prime is 782332283. The reversal of 782332272 is 272233287.

It is an interprime number because it is at equal distance from previous prime (782332261) and next prime (782332283).

It is a super-2 number, since 2×782332272² = 1224087567625363968, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 23433 + ... + 45975.

Almost surely, 2^782332272 is an apocalyptic number.

782332272 is a gapful number since it is divisible by the number (72) 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 782332272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1099313072).

782332272 is an abundant number, since it is smaller than the sum of its proper divisors (1416293872).

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

782332272 is a wasteful number, since it uses less digits than its factorization.

782332272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22798 (or 22789 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 782332272 is about 27970.2032884997. The cubic root of 782332272 is about 921.4329716651.

The spelling of 782332272 in words is "seven hundred eighty-two million, three hundred thirty-two thousand, two hundred seventy-two".