4072350720 has 176 divisors, whose sum is σ = 13304648448. Its totient is φ = 1062666240.

The previous prime is 4072350719. The next prime is 4072350773. The reversal of 4072350720 is 270532704.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 719100 + ... + 724740.

Almost surely, 2^4072350720 is an apocalyptic number.

4072350720 is a gapful number since it is divisible by the number (40) 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 4072350720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6652324224).

4072350720 is an abundant number, since it is smaller than the sum of its proper divisors (9232297728).

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

4072350720 is a wasteful number, since it uses less digits than its factorization.

4072350720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5716 (or 5698 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 30.

The square root of 4072350720 is about 63814.9725377987. The cubic root of 4072350720 is about 1596.9147211497.

The spelling of 4072350720 in words is "four billion, seventy-two million, three hundred fifty thousand, seven hundred twenty".