100018072 has 64 divisors (see below), whose sum is σ = 247587840. Its totient is φ = 36672000.

The previous prime is 100018057. The next prime is 100018081. The reversal of 100018072 is 270810001.

It is a super-2 number, since 2×100018072² = 20007229453194368, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5697 + ... + 15247.

It is an arithmetic number, because the mean of its divisors is an integer number (3868560).

Almost surely, 2^100018072 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 100018072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123793920).

100018072 is an abundant number, since it is smaller than the sum of its proper divisors (147569768).

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

100018072 is a wasteful number, since it uses less digits than its factorization.

100018072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9592 (or 9588 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 19.

The square root of 100018072 is about 10000.9035591790. The cubic root of 100018072 is about 464.1868426082.

Adding to 100018072 its reverse (270810001), we get a palindrome (370828073).

The spelling of 100018072 in words is "one hundred million, eighteen thousand, seventy-two".