72212501561440 has 96 divisors (see below), whose sum is σ = 176395457839104. Its totient is φ = 27907173803520.

The previous prime is 72212501561437. The next prime is 72212501561527. The reversal of 72212501561440 is 4416510521227.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 72212501561393 and 72212501561402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8981844 + ... + 15003283.

It is an arithmetic number, because the mean of its divisors is an integer number (1837452685824).

Almost surely, 2^{72212501561440} is an apocalyptic number.

It is an amenable number.

72212501561440 is an abundant number, since it is smaller than the sum of its proper divisors (104182956277664).

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

72212501561440 is a wasteful number, since it uses less digits than its factorization.

72212501561440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23985780 (or 23985772 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 40.

The spelling of 72212501561440 in words is "seventy-two trillion, two hundred twelve billion, five hundred one million, five hundred sixty-one thousand, four hundred forty".