4072719168 has 336 divisors, whose sum is σ = 14052255360. Its totient is φ = 1103155200.

The previous prime is 4072719137. The next prime is 4072719169. The reversal of 4072719168 is 8619172704.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×4072719168² = 33174082842789224448, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4072719169) 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, 7132323 + ... + 7132893.

Almost surely, 2^4072719168 is an apocalyptic number.

4072719168 is a gapful number since it is divisible by the number (48) 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 4072719168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7026127680).

4072719168 is an abundant number, since it is smaller than the sum of its proper divisors (9979536192).

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

4072719168 is a wasteful number, since it uses less digits than its factorization.

4072719168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 4072719168 is about 63817.8593185325. The cubic root of 4072719168 is about 1596.9628802542.

It can be divided in two parts, 40727 and 19168, that added together give a palindrome (59895).

The spelling of 4072719168 in words is "four billion, seventy-two million, seven hundred nineteen thousand, one hundred sixty-eight".