748567872 has 224 divisors, whose sum is σ = 2423769600. Its totient is φ = 225110016.

The previous prime is 748567849. The next prime is 748567877. The reversal of 748567872 is 278765847.

It is a happy number.

748567872 is a `hidden beast` number, since 7 + 4 + 8 + 567 + 8 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (748567877) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1055454 + ... + 1056162.

It is an arithmetic number, because the mean of its divisors is an integer number (10820400).

Almost surely, 2^748567872 is an apocalyptic number.

748567872 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 748567872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1211884800).

748567872 is an abundant number, since it is smaller than the sum of its proper divisors (1675201728).

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

748567872 is a wasteful number, since it uses less digits than its factorization.

748567872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 774 counting only the distinct ones).

The product of its digits is 5268480, while the sum is 54.

The square root of 748567872 is about 27359.9684210344. The cubic root of 748567872 is about 907.9816280964.

It can be divided in two parts, 74856 and 7872, that added together give a palindrome (82728).

The spelling of 748567872 in words is "seven hundred forty-eight million, five hundred sixty-seven thousand, eight hundred seventy-two".