72563949 has 12 divisors (see below), whose sum is σ = 106142400. Its totient is φ = 47763144.

The previous prime is 72563941. The next prime is 72563951. The reversal of 72563949 is 94936527.

It is a happy number.

72563949 is a `hidden beast` number, since 7 + 2 + 5 + 639 + 4 + 9 = 666.

It is not a de Polignac number, because 72563949 - 2³ = 72563941 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72563941) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50319 + ... + 51740.

It is an arithmetic number, because the mean of its divisors is an integer number (8845200).

Almost surely, 2^72563949 is an apocalyptic number.

72563949 is a gapful number since it is divisible by the number (79) formed by its first and last digit.

It is an amenable number.

72563949 is a deficient number, since it is larger than the sum of its proper divisors (33578451).

72563949 is a wasteful number, since it uses less digits than its factorization.

72563949 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102144 (or 102141 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 72563949 is about 8518.4475698334. The cubic root of 72563949 is about 417.1001088084.

The spelling of 72563949 in words is "seventy-two million, five hundred sixty-three thousand, nine hundred forty-nine".