1000110072 has 64 divisors (see below), whose sum is σ = 2732849280. Its totient is φ = 303126912.

The previous prime is 1000110019. The next prime is 1000110073. The reversal of 1000110072 is 2700110001.

It is a super-2 number, since 2×1000110072² = 2000440312231690368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000110073) 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, 3018 + ... + 44825.

It is an arithmetic number, because the mean of its divisors is an integer number (42700770).

Almost surely, 2^1000110072 is an apocalyptic number.

1000110072 is a gapful number since it is divisible by the number (12) 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 1000110072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1366424640).

1000110072 is an abundant number, since it is smaller than the sum of its proper divisors (1732739208).

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

1000110072 is a wasteful number, since it uses less digits than its factorization.

1000110072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47932 (or 47928 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 12.

The square root of 1000110072 is about 31624.5169449274. The cubic root of 1000110072 is about 1000.0366893205.

Adding to 1000110072 its reverse (2700110001), we get a palindrome (3700220073).

The spelling of 1000110072 in words is "one billion, one hundred ten thousand, seventy-two".