72949641 has 8 divisors (see below), whose sum is σ = 97329024. Its totient is φ = 48601680.

The previous prime is 72949637. The next prime is 72949661. The reversal of 72949641 is 14694927.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 72949641 - 2² = 72949637 is a prime.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 72949593 and 72949602.

It is not an unprimeable number, because it can be changed into a prime (72949661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1761 + ... + 12206.

It is an arithmetic number, because the mean of its divisors is an integer number (12166128).

Almost surely, 2^72949641 is an apocalyptic number.

It is an amenable number.

72949641 is a deficient number, since it is larger than the sum of its proper divisors (24379383).

72949641 is a wasteful number, since it uses less digits than its factorization.

72949641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15711.

The product of its digits is 108864, while the sum is 42.

The square root of 72949641 is about 8541.0561993234. The cubic root of 72949641 is about 417.8377937212.

The spelling of 72949641 in words is "seventy-two million, nine hundred forty-nine thousand, six hundred forty-one".