72416243200127 has 12 divisors (see below), whose sum is σ = 75826383003840. Its totient is φ = 69153595735488.

The previous prime is 72416243200079. The next prime is 72416243200129. The reversal of 72416243200127 is 72100234261427.

It is a happy number.

It is not a de Polignac number, because 72416243200127 - 2⁸ = 72416243199871 is a prime.

It is a super-3 number, since 3×72416243200127³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72416243200129) 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, 112440602 + ... + 113082807.

It is an arithmetic number, because the mean of its divisors is an integer number (6318865250320).

Almost surely, 2^{72416243200127} is an apocalyptic number.

72416243200127 is a deficient number, since it is larger than the sum of its proper divisors (3410139803713).

72416243200127 is a wasteful number, since it uses less digits than its factorization.

72416243200127 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225524062 (or 225524039 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 41.

The spelling of 72416243200127 in words is "seventy-two trillion, four hundred sixteen billion, two hundred forty-three million, two hundred thousand, one hundred twenty-seven".