72805949 has 4 divisors (see below), whose sum is σ = 75154560. Its totient is φ = 70457340.

The previous prime is 72805927. The next prime is 72805963. The reversal of 72805949 is 94950827.

It is a happy number.

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: 94950827 = 6317 ⋅15031.

It is a cyclic number.

It is not a de Polignac number, because 72805949 - 2⁸ = 72805693 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 (72802949) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1174259 + ... + 1174320.

It is an arithmetic number, because the mean of its divisors is an integer number (18788640).

Almost surely, 2^72805949 is an apocalyptic number.

It is an amenable number.

72805949 is a deficient number, since it is larger than the sum of its proper divisors (2348611).

72805949 is a wasteful number, since it uses less digits than its factorization.

72805949 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2348610.

The product of its (nonzero) digits is 181440, while the sum is 44.

The square root of 72805949 is about 8532.6402127360. The cubic root of 72805949 is about 417.5632691236.

The spelling of 72805949 in words is "seventy-two million, eight hundred five thousand, nine hundred forty-nine".