901372752 has 160 divisors (see below), whose sum is σ = 2968857600. Its totient is φ = 256493952.

The previous prime is 901372723. The next prime is 901372753. The reversal of 901372752 is 257273109.

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 (901372753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1048899 + ... + 1049757.

It is an arithmetic number, because the mean of its divisors is an integer number (18555360).

Almost surely, 2^901372752 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 901372752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1484428800).

901372752 is an abundant number, since it is smaller than the sum of its proper divisors (2067484848).

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

901372752 is a wasteful number, since it uses less digits than its factorization.

901372752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1230 (or 1218 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 901372752 is about 30022.8704823506. The cubic root of 901372752 is about 965.9800157897.

The spelling of 901372752 in words is "nine hundred one million, three hundred seventy-two thousand, seven hundred fifty-two".