72678565440 has 280 divisors, whose sum is σ = 278418691320. Its totient is φ = 17890025472.

The previous prime is 72678565429. The next prime is 72678565469. The reversal of 72678565440 is 4456587627.

It is a happy number.

72678565440 is a `hidden beast` number, since 7 + 2 + 6 + 78 + 565 + 4 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 631416384 + 72047149056 = 25128^2 + 268416^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 229116 + ... + 444804.

It is an arithmetic number, because the mean of its divisors is an integer number (994352469).

Almost surely, 2^72678565440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72678565440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139209345660).

72678565440 is an abundant number, since it is smaller than the sum of its proper divisors (205740125880).

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

72678565440 is a wasteful number, since it uses less digits than its factorization.

72678565440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215731 (or 215712 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 72678565440 in words is "seventy-two billion, six hundred seventy-eight million, five hundred sixty-five thousand, four hundred forty".