747552 has 48 divisors (see below), whose sum is σ = 2116800. Its totient is φ = 229632.

The previous prime is 747547. The next prime is 747557. The reversal of 747552 is 255747.

It is an interprime number because it is at equal distance from previous prime (747547) and next prime (747557).

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (747557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 949 + ... + 1547.

It is an arithmetic number, because the mean of its divisors is an integer number (44100).

2⁷⁴⁷⁵⁵² 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 747552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1058400).

747552 is an abundant number, since it is smaller than the sum of its proper divisors (1369248).

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

747552 is a wasteful number, since it uses less digits than its factorization.

747552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 617 counting only the distinct ones).

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

The square root of 747552 is about 864.6108951430. The cubic root of 747552 is about 90.7570705356.

It can be divided in two parts, 74 and 7552, that added together give a triangular number (7626 = T₁₂₃).

The spelling of 747552 in words is "seven hundred forty-seven thousand, five hundred fifty-two".