147706272 has 144 divisors (see below), whose sum is σ = 492028992. Its totient is φ = 41149440.

The previous prime is 147706267. The next prime is 147706297. The reversal of 147706272 is 272607741.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81763 + ... + 83549.

It is an arithmetic number, because the mean of its divisors is an integer number (3416868).

Almost surely, 2^147706272 is an apocalyptic number.

147706272 is a gapful number since it is divisible by the number (12) 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 147706272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246014496).

147706272 is an abundant number, since it is smaller than the sum of its proper divisors (344322720).

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

147706272 is a wasteful number, since it uses less digits than its factorization.

147706272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1851 (or 1840 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 147706272 is about 12153.4469184672. The cubic root of 147706272 is about 528.6070840882.

The spelling of 147706272 in words is "one hundred forty-seven million, seven hundred six thousand, two hundred seventy-two".