72400647136367 has 16 divisors (see below), whose sum is σ = 79134422341632. Its totient is φ = 65692248009120.

The previous prime is 72400647136333. The next prime is 72400647136393. The reversal of 72400647136367 is 76363174600427.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 72400647136367 - 2¹⁰ = 72400647135343 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 (72400647136067) 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, 22793558 + ... + 25774940.

It is an arithmetic number, because the mean of its divisors is an integer number (4945901396352).

Almost surely, 2^{72400647136367} is an apocalyptic number.

72400647136367 is a deficient number, since it is larger than the sum of its proper divisors (6733775205265).

72400647136367 is a wasteful number, since it uses less digits than its factorization.

72400647136367 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2985638.

The product of its (nonzero) digits is 21337344, while the sum is 56.

The spelling of 72400647136367 in words is "seventy-two trillion, four hundred billion, six hundred forty-seven million, one hundred thirty-six thousand, three hundred sixty-seven".