838572672 has 192 divisors, whose sum is σ = 2656765440. Its totient is φ = 233533440.

The previous prime is 838572641. The next prime is 838572689. The reversal of 838572672 is 276275838.

838572672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 770913 + ... + 771999.

It is an arithmetic number, because the mean of its divisors is an integer number (13837320).

Almost surely, 2^838572672 is an apocalyptic number.

838572672 is a gapful number since it is divisible by the number (82) 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 838572672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1328382720).

838572672 is an abundant number, since it is smaller than the sum of its proper divisors (1818192768).

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

838572672 is a wasteful number, since it uses less digits than its factorization.

838572672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1159 (or 1140 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 48.

The square root of 838572672 is about 28958.1192759475. The cubic root of 838572672 is about 943.0040727074.

The spelling of 838572672 in words is "eight hundred thirty-eight million, five hundred seventy-two thousand, six hundred seventy-two".