748272 has 80 divisors (see below), whose sum is σ = 2356992. Its totient is φ = 199680.

The previous prime is 748271. The next prime is 748273. The reversal of 748272 is 272847.

It is an interprime number because it is at equal distance from previous prime (748271) and next prime (748273).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 748272.

It is not an unprimeable number, because it can be changed into a prime (748271) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5647 + ... + 5777.

2⁷⁴⁸²⁷² 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 748272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1178496).

748272 is an abundant number, since it is smaller than the sum of its proper divisors (1608720).

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

748272 is a wasteful number, since it uses less digits than its factorization.

748272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 160 counting only the distinct ones).

The product of its digits is 6272, while the sum is 30.

The square root of 748272 is about 865.0271672034. The cubic root of 748272 is about 90.7861985531.

The spelling of 748272 in words is "seven hundred forty-eight thousand, two hundred seventy-two".