100072960 has 160 divisors (see below), whose sum is σ = 269482752. Its totient is φ = 35389440.

The previous prime is 100072949. The next prime is 100072961. The reversal of 100072960 is 69270001.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100072961) 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, 1031632 + ... + 1031728.

Almost surely, 2^100072960 is an apocalyptic number.

100072960 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 100072960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134741376).

100072960 is an abundant number, since it is smaller than the sum of its proper divisors (169409792).

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

100072960 is an equidigital number, since it uses as much as digits as its factorization.

100072960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 25.

The square root of 100072960 is about 10003.6473348474. The cubic root of 100072960 is about 464.2717393596.

The spelling of 100072960 in words is "one hundred million, seventy-two thousand, nine hundred sixty".