1072388100 has 144 divisors (see below), whose sum is σ = 3668515200. Its totient is φ = 236651520.

The previous prime is 1072388081. The next prime is 1072388111. The reversal of 1072388100 is 18832701.

It is a happy number.

It is a super-2 number, since 2×1072388100² = 2300032474043220000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52096 + ... + 69704.

It is an arithmetic number, because the mean of its divisors is an integer number (25475800).

Almost surely, 2^1072388100 is an apocalyptic number.

1072388100 is a gapful number since it is divisible by the number (10) 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 1072388100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1834257600).

1072388100 is an abundant number, since it is smaller than the sum of its proper divisors (2596127100).

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

1072388100 is a wasteful number, since it uses less digits than its factorization.

1072388100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17662 (or 17655 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 1072388100 is about 32747.3372963360. The cubic root of 1072388100 is about 1023.5694817534.

The spelling of 1072388100 in words is "one billion, seventy-two million, three hundred eighty-eight thousand, one hundred".