72819863 has 8 divisors (see below), whose sum is σ = 76098048. Its totient is φ = 69551064.

The previous prime is 72819847. The next prime is 72819907. The reversal of 72819863 is 36891827.

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

It is a cyclic number.

It is not a de Polignac number, because 72819863 - 2⁴ = 72819847 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72819463) 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, 17006 + ... + 20852.

It is an arithmetic number, because the mean of its divisors is an integer number (9512256).

Almost surely, 2^72819863 is an apocalyptic number.

72819863 is a deficient number, since it is larger than the sum of its proper divisors (3278185).

72819863 is a wasteful number, since it uses less digits than its factorization.

72819863 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4693.

The product of its digits is 145152, while the sum is 44.

The square root of 72819863 is about 8533.4555134482. The cubic root of 72819863 is about 417.5898677067.

Subtracting from 72819863 its reverse (36891827), we obtain a square (35928036 = 5994²).

The spelling of 72819863 in words is "seventy-two million, eight hundred nineteen thousand, eight hundred sixty-three".