745472000 has 272 divisors, whose sum is σ = 2290072512. Its totient is φ = 235929600.

The previous prime is 745471997. The next prime is 745472009. The reversal of 745472000 is 274547.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (745472009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57343994 + ... + 57344006.

Almost surely, 2^745472000 is an apocalyptic number.

745472000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 745472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1145036256).

745472000 is an abundant number, since it is smaller than the sum of its proper divisors (1544600512).

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

745472000 is an frugal number, since it uses more digits than its factorization.

745472000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 29.

The square root of 745472000 is about 27303.3331298580. Note that the first 3 decimals coincide. The cubic root of 745472000 is about 906.7281772955.

The spelling of 745472000 in words is "seven hundred forty-five million, four hundred seventy-two thousand".