772072 has 32 divisors (see below), whose sum is σ = 1753920. Its totient is φ = 311040.

The previous prime is 772061. The next prime is 772073. The reversal of 772072 is 270277.

It is not an unprimeable number, because it can be changed into a prime (772073) by changing a digit.

772072 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 547 + ... + 1357.

It is an arithmetic number, because the mean of its divisors is an integer number (54810).

2⁷⁷²⁰⁷² 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 772072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (876960).

772072 is an abundant number, since it is smaller than the sum of its proper divisors (981848).

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

772072 is a wasteful number, since it uses less digits than its factorization.

772072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 1372, while the sum is 25.

The square root of 772072 is about 878.6762771351. The cubic root of 772072 is about 91.7387040716.

The spelling of 772072 in words is "seven hundred seventy-two thousand, seventy-two", and thus it is an iban number.