72377503765153 has 2 divisors, whose sum is σ = 72377503765154. Its totient is φ = 72377503765152.

The previous prime is 72377503765117. The next prime is 72377503765201. The reversal of 72377503765153 is 35156730577327.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 65847495934609 + 6530007830544 = 8114647^2 + 2555388^2 .

It is an emirp because it is prime and its reverse (35156730577327) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72377503765153 - 2³³ = 72368913830561 is a prime.

It is a super-2 number, since 2×72377503765153² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 72377503765091 and 72377503765100.

It is not a weakly prime, because it can be changed into another prime (72377503766153) 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 as a sum of consecutive naturals, namely, 36188751882576 + 36188751882577.

It is an arithmetic number, because the mean of its divisors is an integer number (36188751882577).

Almost surely, 2^{72377503765153} is an apocalyptic number.

It is an amenable number.

72377503765153 is a deficient number, since it is larger than the sum of its proper divisors (1).

72377503765153 is an equidigital number, since it uses as much as digits as its factorization.

72377503765153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 97240500, while the sum is 61.

The spelling of 72377503765153 in words is "seventy-two trillion, three hundred seventy-seven billion, five hundred three million, seven hundred sixty-five thousand, one hundred fifty-three".