772476526106272 has 96 divisors (see below), whose sum is σ = 1709490413312640. Its totient is φ = 340930048926720.

The previous prime is 772476526106237. The next prime is 772476526106273. The reversal of 772476526106272 is 272601625674277.

It is a happy number.

772476526106272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (772476526106273) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22454622 + ... + 45267682.

It is an arithmetic number, because the mean of its divisors is an integer number (17807191805340).

Almost surely, 2^{772476526106272} 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 772476526106272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854745206656320).

772476526106272 is an abundant number, since it is smaller than the sum of its proper divisors (937013887206368).

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

772476526106272 is a wasteful number, since it uses less digits than its factorization.

772476526106272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22816646 (or 22816638 counting only the distinct ones).

The product of its (nonzero) digits is 165957120, while the sum is 64.

The spelling of 772476526106272 in words is "seven hundred seventy-two trillion, four hundred seventy-six billion, five hundred twenty-six million, one hundred six thousand, two hundred seventy-two".