72149105 has 16 divisors (see below), whose sum is σ = 104768640. Its totient is φ = 46563072.

The previous prime is 72149087. The next prime is 72149107. The reversal of 72149105 is 50194127.

It is a cyclic number.

It is not a de Polignac number, because 72149105 - 2⁸ = 72148849 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72149107) 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, 60035 + ... + 61224.

It is an arithmetic number, because the mean of its divisors is an integer number (6548040).

Almost surely, 2^72149105 is an apocalyptic number.

It is an amenable number.

72149105 is a deficient number, since it is larger than the sum of its proper divisors (32619535).

72149105 is a wasteful number, since it uses less digits than its factorization.

72149105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121288.

The product of its (nonzero) digits is 2520, while the sum is 29.

The square root of 72149105 is about 8494.0629265387. The cubic root of 72149105 is about 416.3037433576.

The spelling of 72149105 in words is "seventy-two million, one hundred forty-nine thousand, one hundred five".