100072352 has 24 divisors (see below), whose sum is σ = 201602016. Its totient is φ = 48871872.

The previous prime is 100072351. The next prime is 100072361. The reversal of 100072352 is 253270001.

It is not an unprimeable number, because it can be changed into a prime (100072351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 34988 + ... + 37739.

It is an arithmetic number, because the mean of its divisors is an integer number (8400084).

Almost surely, 2^100072352 is an apocalyptic number.

It is an amenable number.

100072352 is an abundant number, since it is smaller than the sum of its proper divisors (101529664).

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

100072352 is an equidigital number, since it uses as much as digits as its factorization.

100072352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72780 (or 72772 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 100072352 is about 10003.6169458851. The cubic root of 100072352 is about 464.2707991196.

The spelling of 100072352 in words is "one hundred million, seventy-two thousand, three hundred fifty-two".