100072353 has 32 divisors (see below), whose sum is σ = 146313216. Its totient is φ = 60593408.

The previous prime is 100072351. The next prime is 100072361. The reversal of 100072353 is 353270001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100072353 - 2¹ = 100072351 is a prime.

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

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 198700 + ... + 199202.

It is an arithmetic number, because the mean of its divisors is an integer number (4572288).

Almost surely, 2^100072353 is an apocalyptic number.

It is an amenable number.

100072353 is a deficient number, since it is larger than the sum of its proper divisors (46240863).

100072353 is a wasteful number, since it uses less digits than its factorization.

100072353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653.

The product of its (nonzero) digits is 630, while the sum is 21.

The square root of 100072353 is about 10003.6169958670. The cubic root of 100072353 is about 464.2708006661.

The spelling of 100072353 in words is "one hundred million, seventy-two thousand, three hundred fifty-three".