72106949 has 4 divisors (see below), whose sum is σ = 72157440. Its totient is φ = 72056460.

The previous prime is 72106913. The next prime is 72107003. The reversal of 72106949 is 94960127.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 94960127 = 3137 ⋅30271.

It is a cyclic number.

It is not a de Polignac number, because 72106949 - 2⁸ = 72106693 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72106049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 23039 + ... + 25980.

It is an arithmetic number, because the mean of its divisors is an integer number (18039360).

Almost surely, 2^72106949 is an apocalyptic number.

It is an amenable number.

72106949 is a deficient number, since it is larger than the sum of its proper divisors (50491).

72106949 is a wasteful number, since it uses less digits than its factorization.

72106949 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50490.

The product of its (nonzero) digits is 27216, while the sum is 38.

The square root of 72106949 is about 8491.5810659735. The cubic root of 72106949 is about 416.2226468572. Note that the first 3 decimals are identical.

The spelling of 72106949 in words is "seventy-two million, one hundred six thousand, nine hundred forty-nine".