747505152 has 160 divisors (see below), whose sum is σ = 2309852160. Its totient is φ = 238233600.

The previous prime is 747505127. The next prime is 747505159. The reversal of 747505152 is 251505747.

747505152 is a `hidden beast` number, since 74 + 75 + 0 + 515 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (747505159) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 316777 + ... + 319127.

It is an arithmetic number, because the mean of its divisors is an integer number (14436576).

Almost surely, 2^747505152 is an apocalyptic number.

747505152 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 747505152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1154926080).

747505152 is an abundant number, since it is smaller than the sum of its proper divisors (1562347008).

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

747505152 is a wasteful number, since it uses less digits than its factorization.

747505152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2401 (or 2379 counting only the distinct ones).

The product of its (nonzero) digits is 49000, while the sum is 36.

The square root of 747505152 is about 27340.5404482062. The cubic root of 747505152 is about 907.5517462468.

The spelling of 747505152 in words is "seven hundred forty-seven million, five hundred five thousand, one hundred fifty-two".