72662120014275 has 36 divisors (see below), whose sum is σ = 141977378747880. Its totient is φ = 35230118793600.

The previous prime is 72662120014271. The next prime is 72662120014283. The reversal of 72662120014275 is 57241002126627.

72662120014275 is a `hidden beast` number, since 7 + 2 + 6 + 6 + 212 + 0 + 0 + 1 + 427 + 5 = 666.

It is not a de Polignac number, because 72662120014275 - 2² = 72662120014271 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 72662120014275.

It is not an unprimeable number, because it can be changed into a prime (72662120014271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14679213690 + ... + 14679218639.

It is an arithmetic number, because the mean of its divisors is an integer number (3943816076330).

Almost surely, 2^{72662120014275} is an apocalyptic number.

72662120014275 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

72662120014275 is a deficient number, since it is larger than the sum of its proper divisors (69315258733605).

72662120014275 is a wasteful number, since it uses less digits than its factorization.

72662120014275 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29358432356 (or 29358432348 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 72662120014275 in words is "seventy-two trillion, six hundred sixty-two billion, one hundred twenty million, fourteen thousand, two hundred seventy-five".