749952000 has 704 divisors, whose sum is σ = 3269959680. Its totient is φ = 165888000.

The previous prime is 749951999. The next prime is 749952017. The reversal of 749952000 is 259947.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24191985 + ... + 24192015.

Almost surely, 2^749952000 is an apocalyptic number.

749952000 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 749952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1634979840).

749952000 is an abundant number, since it is smaller than the sum of its proper divisors (2520007680).

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

749952000 is a wasteful number, since it uses less digits than its factorization.

749952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 749952000 is about 27385.2515051442. The cubic root of 749952000 is about 908.5409133829.

The spelling of 749952000 in words is "seven hundred forty-nine million, nine hundred fifty-two thousand".