737288960 has 72 divisors (see below), whose sum is σ = 1779923376. Its totient is φ = 292597760.

The previous prime is 737288941. The next prime is 737288969. The reversal of 737288960 is 69882737.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 737288899 and 737288908.

It is not an unprimeable number, because it can be changed into a prime (737288969) 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, 165482 + ... + 169878.

It is an arithmetic number, because the mean of its divisors is an integer number (24721158).

Almost surely, 2^737288960 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 737288960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889961688).

737288960 is an abundant number, since it is smaller than the sum of its proper divisors (1042634416).

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

737288960 is a wasteful number, since it uses less digits than its factorization.

737288960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4549 (or 4535 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 50.

The square root of 737288960 is about 27153.0653886444. The cubic root of 737288960 is about 903.3982472955.

The spelling of 737288960 in words is "seven hundred thirty-seven million, two hundred eighty-eight thousand, nine hundred sixty".