100744072 has 64 divisors (see below), whose sum is σ = 224804160. Its totient is φ = 41721600.

The previous prime is 100744019. The next prime is 100744073. The reversal of 100744072 is 270447001.

It is not an unprimeable number, because it can be changed into a prime (100744073) 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, 94422 + ... + 95482.

It is an arithmetic number, because the mean of its divisors is an integer number (3512565).

Almost surely, 2^100744072 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 100744072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112402080).

100744072 is an abundant number, since it is smaller than the sum of its proper divisors (124060088).

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

100744072 is a wasteful number, since it uses less digits than its factorization.

100744072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1174 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 25.

The square root of 100744072 is about 10037.1346508852. The cubic root of 100744072 is about 465.3072652197.

The spelling of 100744072 in words is "one hundred million, seven hundred forty-four thousand, seventy-two".