72783638727 has 16 divisors (see below), whose sum is σ = 100695202272. Its totient is φ = 46724290560.

The previous prime is 72783638699. The next prime is 72783638737.

It is a happy number.

72783638727 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 72783638727 - 2⁶ = 72783638663 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72783638737) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3369174 + ... + 3390707.

It is an arithmetic number, because the mean of its divisors is an integer number (6293450142).

Almost surely, 2^72783638727 is an apocalyptic number.

72783638727 is a deficient number, since it is larger than the sum of its proper divisors (27911563545).

72783638727 is a wasteful number, since it uses less digits than its factorization.

72783638727 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6760018.

The product of its digits is 33191424, while the sum is 60.

The spelling of 72783638727 in words is "seventy-two billion, seven hundred eighty-three million, six hundred thirty-eight thousand, seven hundred twenty-seven".