100725072 has 40 divisors (see below), whose sum is σ = 297379776. Its totient is φ = 28778496.

The previous prime is 100725067. The next prime is 100725083. The reversal of 100725072 is 270527001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 149553 + ... + 150224.

Almost surely, 2^100725072 is an apocalyptic number.

100725072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100725072 is an abundant number, since it is smaller than the sum of its proper divisors (196654704).

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

100725072 is a wasteful number, since it uses less digits than its factorization.

100725072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299795 (or 299789 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 24.

The square root of 100725072 is about 10036.1881209949. The cubic root of 100725072 is about 465.2780115749.

The spelling of 100725072 in words is "one hundred million, seven hundred twenty-five thousand, seventy-two".