749583072 has 288 divisors, whose sum is σ = 2588931072. Its totient is φ = 208894464.

The previous prime is 749583061. The next prime is 749583089. The reversal of 749583072 is 270385947.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2558158 + ... + 2558450.

It is an arithmetic number, because the mean of its divisors is an integer number (8989344).

Almost surely, 2^749583072 is an apocalyptic number.

749583072 is a gapful number since it is divisible by the number (72) 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 749583072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1294465536).

749583072 is an abundant number, since it is smaller than the sum of its proper divisors (1839348000).

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

749583072 is a wasteful number, since it uses less digits than its factorization.

749583072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 749583072 is about 27378.5147880596. The cubic root of 749583072 is about 908.3919077752.

The spelling of 749583072 in words is "seven hundred forty-nine million, five hundred eighty-three thousand, seventy-two".