147972 has 48 divisors (see below), whose sum is σ = 403200. Its totient is φ = 41760.

The previous prime is 147949. The next prime is 147977. The reversal of 147972 is 279741.

It is a d-powerful number, because it can be written as 1 + 4 + 9² + 7 + 7⁵ + 2¹⁷ .

It is not an unprimeable number, because it can be changed into a prime (147977) by changing a digit.

147972 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2479 + ... + 2537.

It is an arithmetic number, because the mean of its divisors is an integer number (8400).

2¹⁴⁷⁹⁷² is an apocalyptic number.

147972 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 147972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201600).

147972 is an abundant number, since it is smaller than the sum of its proper divisors (255228).

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

147972 is a wasteful number, since it uses less digits than its factorization.

147972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 94 counting only the distinct ones).

The product of its digits is 3528, while the sum is 30.

The square root of 147972 is about 384.6712882449. The cubic root of 147972 is about 52.8923887501.

Subtracting 147972 from its reverse (279741), we obtain a square (131769 = 363²).

It can be divided in two parts, 1479 and 72, that added together give a palindrome (1551).

The spelling of 147972 in words is "one hundred forty-seven thousand, nine hundred seventy-two".