739728000 has 384 divisors, whose sum is σ = 2904258240. Its totient is φ = 178944000.

The previous prime is 739727993. The next prime is 739728131. The reversal of 739728000 is 827937.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1583767 + ... + 1584233.

Almost surely, 2^739728000 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 739728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1452129120).

739728000 is an abundant number, since it is smaller than the sum of its proper divisors (2164530240).

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

739728000 is a wasteful number, since it uses less digits than its factorization.

739728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 739728000 is about 27197.9410985464. The cubic root of 739728000 is about 904.3933339375.

The spelling of 739728000 in words is "seven hundred thirty-nine million, seven hundred twenty-eight thousand".