72337490465760 has 576 divisors, whose sum is σ = 278620946892288. Its totient is φ = 16956917379072.

The previous prime is 72337490465663. The next prime is 72337490465803. The reversal of 72337490465760 is 6756409473327.

It is a happy number.

72337490465760 is a `hidden beast` number, since 7 + 2 + 3 + 37 + 490 + 4 + 6 + 57 + 60 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 97367059 + ... + 98107181.

It is an arithmetic number, because the mean of its divisors is an integer number (483716921688).

Almost surely, 2^{72337490465760} 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 72337490465760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139310473446144).

72337490465760 is an abundant number, since it is smaller than the sum of its proper divisors (206283456426528).

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

72337490465760 is a wasteful number, since it uses less digits than its factorization.

72337490465760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740407 (or 740396 counting only the distinct ones).

The product of its (nonzero) digits is 160030080, while the sum is 63.

The spelling of 72337490465760 in words is "seventy-two trillion, three hundred thirty-seven billion, four hundred ninety million, four hundred sixty-five thousand, seven hundred sixty".