100372672 has 56 divisors (see below), whose sum is σ = 205410816. Its totient is φ = 48642048.

The previous prime is 100372663. The next prime is 100372673. The reversal of 100372672 is 276273001.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 100372672.

It is not an unprimeable number, because it can be changed into a prime (100372673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 430668 + ... + 430900.

Almost surely, 2^100372672 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 100372672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102705408).

100372672 is an abundant number, since it is smaller than the sum of its proper divisors (105038144).

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

100372672 is a wasteful number, since it uses less digits than its factorization.

100372672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 28.

The square root of 100372672 is about 10018.6162717214. The cubic root of 100372672 is about 464.7347653003.

The spelling of 100372672 in words is "one hundred million, three hundred seventy-two thousand, six hundred seventy-two".