772190841672 has 192 divisors, whose sum is σ = 2150710548480. Its totient is φ = 250173536256.

The previous prime is 772190841671. The next prime is 772190841673. The reversal of 772190841672 is 276148091277.

772190841672 is a `hidden beast` number, since 7 + 7 + 219 + 0 + 8 + 416 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (772190841671) and next prime (772190841673).

It is a super-2 number, since 2×772190841672² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (772190841671) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 360330633 + ... + 360332775.

It is an arithmetic number, because the mean of its divisors is an integer number (11201617440).

Almost surely, 2^772190841672 is an apocalyptic number.

772190841672 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 772190841672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1075355274240).

772190841672 is an abundant number, since it is smaller than the sum of its proper divisors (1378519706808).

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

772190841672 is a wasteful number, since it uses less digits than its factorization.

772190841672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2892 (or 2885 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The spelling of 772190841672 in words is "seven hundred seventy-two billion, one hundred ninety million, eight hundred forty-one thousand, six hundred seventy-two".