4072070100 has 288 divisors, whose sum is σ = 14111096832. Its totient is φ = 887040000.

The previous prime is 4072070087. The next prime is 4072070117. The reversal of 4072070100 is 10702704.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4621660 + ... + 4622540.

It is an arithmetic number, because the mean of its divisors is an integer number (48996864).

Almost surely, 2^4072070100 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 4072070100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7055548416).

4072070100 is an abundant number, since it is smaller than the sum of its proper divisors (10039026732).

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

4072070100 is a wasteful number, since it uses less digits than its factorization.

4072070100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 21.

The square root of 4072070100 is about 63812.7737996085. The cubic root of 4072070100 is about 1596.8780399195.

Adding to 4072070100 its reverse (10702704), we get a palindrome (4082772804).

The spelling of 4072070100 in words is "four billion, seventy-two million, seventy thousand, one hundred".