4072308867072 has 1008 divisors, whose sum is σ = 13615539648480. Its totient is φ = 1210828455936.

The previous prime is 4072308867061. The next prime is 4072308867079. The reversal of 4072308867072 is 2707688032704.

4072308867072 is a `hidden beast` number, since 407 + 2 + 30 + 88 + 67 + 0 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4072308867079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 37360631754 + ... + 37360631862.

It is an arithmetic number, because the mean of its divisors is an integer number (13507479810).

Almost surely, 2^{4072308867072} 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 4072308867072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6807769824240).

4072308867072 is an abundant number, since it is smaller than the sum of its proper divisors (9543230781408).

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

4072308867072 is an frugal number, since it uses more digits than its factorization.

4072308867072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

The spelling of 4072308867072 in words is "four trillion, seventy-two billion, three hundred eight million, eight hundred sixty-seven thousand, seventy-two".