771072 has 44 divisors (see below), whose sum is σ = 2063376. Its totient is φ = 256000.

The previous prime is 771049. The next prime is 771073. The reversal of 771072 is 270177.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 771072.

It is not an unprimeable number, because it can be changed into a prime (771073) by changing a digit.

771072 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 3 ways as a sum of consecutive naturals, for example, 2947 + ... + 3197.

2⁷⁷¹⁰⁷² 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 771072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1031688).

771072 is an abundant number, since it is smaller than the sum of its proper divisors (1292304).

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

771072 is a wasteful number, since it uses less digits than its factorization.

771072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 686, while the sum is 24.

The square root of 771072 is about 878.1070549768. The cubic root of 771072 is about 91.6990798138.

The spelling of 771072 in words is "seven hundred seventy-one thousand, seventy-two", and thus it is an iban number.