100072749 has 12 divisors (see below), whose sum is σ = 155215104. Its totient is φ = 57184344.

The previous prime is 100072733. The next prime is 100072769. The reversal of 100072749 is 947270001.

It is not a de Polignac number, because 100072749 - 2⁴ = 100072733 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100072769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 340237 + ... + 340530.

It is an arithmetic number, because the mean of its divisors is an integer number (12934592).

Almost surely, 2^100072749 is an apocalyptic number.

It is an amenable number.

100072749 is a deficient number, since it is larger than the sum of its proper divisors (55142355).

100072749 is an equidigital number, since it uses as much as digits as its factorization.

100072749 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680784 (or 680777 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 100072749 is about 10003.6367886884. The cubic root of 100072749 is about 464.2714130596.

The spelling of 100072749 in words is "one hundred million, seventy-two thousand, seven hundred forty-nine".