730752000 has 352 divisors, whose sum is σ = 2667060864. Its totient is φ = 176128000.

The previous prime is 730751999. The next prime is 730752037. The reversal of 730752000 is 257037.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4223914 + ... + 4224086.

Almost surely, 2^730752000 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 730752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1333530432).

730752000 is an abundant number, since it is smaller than the sum of its proper divisors (1936308864).

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

730752000 is a wasteful number, since it uses less digits than its factorization.

730752000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 24.

The square root of 730752000 is about 27032.4249744635. The cubic root of 730752000 is about 900.7204108429.

The spelling of 730752000 in words is "seven hundred thirty million, seven hundred fifty-two thousand".