391201272 has 256 divisors, whose sum is σ = 1388851200. Its totient is φ = 99066240.

The previous prime is 391201253. The next prime is 391201277. The reversal of 391201272 is 272102193.

391201272 is a `hidden beast` number, since 391 + 2 + 0 + 1 + 272 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (391201277) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 714903 + ... + 715449.

It is an arithmetic number, because the mean of its divisors is an integer number (5425200).

Almost surely, 2^391201272 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 391201272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694425600).

391201272 is an abundant number, since it is smaller than the sum of its proper divisors (997649928).

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

391201272 is a wasteful number, since it uses less digits than its factorization.

391201272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 391201272 is about 19778.8086597752. The cubic root of 391201272 is about 731.3637308970.

The spelling of 391201272 in words is "three hundred ninety-one million, two hundred one thousand, two hundred seventy-two".