745752000 has 448 divisors, whose sum is σ = 2951829504. Its totient is φ = 162201600.

The previous prime is 745751989. The next prime is 745752031. The reversal of 745752000 is 257547.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×745752000² = 1112292091008000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3863904 + ... + 3864096.

Almost surely, 2^745752000 is an apocalyptic number.

745752000 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 745752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1475914752).

745752000 is an abundant number, since it is smaller than the sum of its proper divisors (2206077504).

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

745752000 is a wasteful number, since it uses less digits than its factorization.

745752000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 9800, while the sum is 30.

The square root of 745752000 is about 27308.4602275559. The cubic root of 745752000 is about 906.8416857438.

The spelling of 745752000 in words is "seven hundred forty-five million, seven hundred fifty-two thousand".