72540412566435 has 64 divisors (see below), whose sum is σ = 148088880576000. Its totient is φ = 33319998103680.

The previous prime is 72540412566407. The next prime is 72540412566437. The reversal of 72540412566435 is 53466521404527.

It is a happy number.

72540412566435 is a `hidden beast` number, since 7 + 2 + 5 + 4 + 0 + 41 + 2 + 566 + 4 + 35 = 666.

It is not a de Polignac number, because 72540412566435 - 2²⁰ = 72540411517859 is a prime.

It is a super-2 number, since 2×72540412566435² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72540412566437) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1285465540 + ... + 1285521969.

It is an arithmetic number, because the mean of its divisors is an integer number (2313888759000).

Almost surely, 2^{72540412566435} is an apocalyptic number.

72540412566435 is an abundant number, since it is smaller than the sum of its proper divisors (75548468009565).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72540412566435 is a wasteful number, since it uses less digits than its factorization.

72540412566435 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2570987553 (or 2570987547 counting only the distinct ones).

The product of its (nonzero) digits is 24192000, while the sum is 54.

The spelling of 72540412566435 in words is "seventy-two trillion, five hundred forty billion, four hundred twelve million, five hundred sixty-six thousand, four hundred thirty-five".