901942272 has 528 divisors, whose sum is σ = 3433457664. Its totient is φ = 221184000.

The previous prime is 901942219. The next prime is 901942273. The reversal of 901942272 is 272249109.

It is a tau number, because it is divible by the number of its divisors (528).

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

It is not an unprimeable number, because it can be changed into a prime (901942273) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21998572 + ... + 21998612.

Almost surely, 2^901942272 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 901942272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1716728832).

901942272 is an abundant number, since it is smaller than the sum of its proper divisors (2531515392).

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

901942272 is a wasteful number, since it uses less digits than its factorization.

901942272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 901942272 is about 30032.3537539101. The cubic root of 901942272 is about 966.1834200272.

The spelling of 901942272 in words is "nine hundred one million, nine hundred forty-two thousand, two hundred seventy-two".