418100072 has 64 divisors (see below), whose sum is σ = 890023680. Its totient is φ = 182679552.

The previous prime is 418100071. The next prime is 418100107. The reversal of 418100072 is 270001814.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (418100071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 245528 + ... + 247224.

It is an arithmetic number, because the mean of its divisors is an integer number (13906620).

Almost surely, 2^418100072 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 418100072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445011840).

418100072 is an abundant number, since it is smaller than the sum of its proper divisors (471923608).

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

418100072 is a wasteful number, since it uses less digits than its factorization.

418100072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1842 (or 1838 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 23.

The square root of 418100072 is about 20447.4954945587. The cubic root of 418100072 is about 747.7563000706.

Adding to 418100072 its reverse (270001814), we get a palindrome (688101886).

The spelling of 418100072 in words is "four hundred eighteen million, one hundred thousand, seventy-two".