72641438049 has 16 divisors (see below), whose sum is σ = 97129210112. Its totient is φ = 48290817168.

The previous prime is 72641438047. The next prime is 72641438069. The reversal of 72641438049 is 94083414627.

It is not a de Polignac number, because 72641438049 - 2¹ = 72641438047 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72641437989 and 72641438007.

It is not an unprimeable number, because it can be changed into a prime (72641438041) 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, 1741374 + ... + 1782600.

It is an arithmetic number, because the mean of its divisors is an integer number (6070575632).

Almost surely, 2^72641438049 is an apocalyptic number.

It is an amenable number.

72641438049 is a deficient number, since it is larger than the sum of its proper divisors (24487772063).

72641438049 is a wasteful number, since it uses less digits than its factorization.

72641438049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42876.

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 72641438049 in words is "seventy-two billion, six hundred forty-one million, four hundred thirty-eight thousand, forty-nine".