772528212 has 144 divisors (see below), whose sum is σ = 2172381120. Its totient is φ = 237279744.

The previous prime is 772528193. The next prime is 772528249. The reversal of 772528212 is 212825277.

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 47 ways as a sum of consecutive naturals, for example, 1654003 + ... + 1654469.

It is an arithmetic number, because the mean of its divisors is an integer number (15085980).

Almost surely, 2^772528212 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 772528212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1086190560).

772528212 is an abundant number, since it is smaller than the sum of its proper divisors (1399852908).

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

772528212 is a wasteful number, since it uses less digits than its factorization.

772528212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567 (or 542 counting only the distinct ones).

The product of its digits is 31360, while the sum is 36.

The square root of 772528212 is about 27794.3917364637. The cubic root of 772528212 is about 917.5676976878.

It can be divided in two parts, 7725 and 28212, that added together give a cube (35937 = 33³).

The spelling of 772528212 in words is "seven hundred seventy-two million, five hundred twenty-eight thousand, two hundred twelve".