748872000 has 224 divisors, whose sum is σ = 2748320640. Its totient is φ = 199641600.

The previous prime is 748871989. The next prime is 748872013. The reversal of 748872000 is 278847.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 214267 + ... + 217733.

Almost surely, 2^748872000 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 748872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1374160320).

748872000 is an abundant number, since it is smaller than the sum of its proper divisors (1999448640).

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

748872000 is a wasteful number, since it uses less digits than its factorization.

748872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3503 (or 3477 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 748872000 is about 27365.5257577851. The cubic root of 748872000 is about 908.1045763100.

The spelling of 748872000 in words is "seven hundred forty-eight million, eight hundred seventy-two thousand".