72005153402516 has 24 divisors (see below), whose sum is σ = 128686482366120. Its totient is φ = 35245597376000.

The previous prime is 72005153402489. The next prime is 72005153402519. The reversal of 72005153402516 is 61520435150027.

It can be written as a sum of positive squares in 4 ways, for example, as 24366030950416 + 47639122452100 = 4936196^2 + 6902110^2 .

It is a super-2 number, since 2×72005153402516² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72005153402519) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1001259425 + ... + 1001331336.

It is an arithmetic number, because the mean of its divisors is an integer number (5361936765255).

Almost surely, 2^{72005153402516} is an apocalyptic number.

It is an amenable number.

72005153402516 is a deficient number, since it is larger than the sum of its proper divisors (56681328963604).

72005153402516 is a wasteful number, since it uses less digits than its factorization.

72005153402516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2002590955 (or 2002590953 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 41.

The spelling of 72005153402516 in words is "seventy-two trillion, five billion, one hundred fifty-three million, four hundred two thousand, five hundred sixteen".