734472000 has 252 divisors, whose sum is σ = 2653599468. Its totient is φ = 193920000.

The previous prime is 734471989. The next prime is 734472007. The reversal of 734472000 is 274437.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 278784 + 734193216 = 528^2 + 27096^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (734472007) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7271950 + ... + 7272050.

Almost surely, 2^734472000 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 734472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1326799734).

734472000 is an abundant number, since it is smaller than the sum of its proper divisors (1919127468).

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

734472000 is a wasteful number, since it uses less digits than its factorization.

734472000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 734472000 is about 27101.1438872975. The cubic root of 734472000 is about 902.2462409673.

The spelling of 734472000 in words is "seven hundred thirty-four million, four hundred seventy-two thousand".