772272 has 60 divisors (see below), whose sum is σ = 2243904. Its totient is φ = 247680.
The previous prime is 772231. The next prime is 772273. The reversal of 772272 is 272277.
It is not an unprimeable number, because it can be changed into a prime (772273) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4378 + ... + 4550.
2772272 is an apocalyptic number.
772272 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 772272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1121952).
772272 is an abundant number, since it is smaller than the sum of its proper divisors (1471632).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
772272 is a wasteful number, since it uses less digits than its factorization.
772272 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 218 (or 209 counting only the distinct ones).
The product of its digits is 2744, while the sum is 27.
The square root of 772272 is about 878.7900773222. The cubic root of 772272 is about 91.7466248168.
The spelling of 772272 in words is "seven hundred seventy-two thousand, two hundred seventy-two", and thus it is an iban number.
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