772872192 has 144 divisors (see below), whose sum is σ = 2316361320. Its totient is φ = 257458176.

The previous prime is 772872119. The next prime is 772872203. The reversal of 772872192 is 291278277.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 496888 + ... + 498440.

Almost surely, 2^772872192 is an apocalyptic number.

772872192 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 772872192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1158180660).

772872192 is an abundant number, since it is smaller than the sum of its proper divisors (1543489128).

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

772872192 is an equidigital number, since it uses as much as digits as its factorization.

772872192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1590 (or 1558 counting only the distinct ones).

The product of its digits is 197568, while the sum is 45.

The square root of 772872192 is about 27800.5789867765. The cubic root of 772872192 is about 917.7038644960.

The spelling of 772872192 in words is "seven hundred seventy-two million, eight hundred seventy-two thousand, one hundred ninety-two".