147972552 has 96 divisors (see below), whose sum is σ = 463478400. Its totient is φ = 39021696.

The previous prime is 147972511. The next prime is 147972553. The reversal of 147972552 is 255279741.

147972552 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×147972552² = 43791752290785408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (147972553) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10449 + ... + 20127.

It is an arithmetic number, because the mean of its divisors is an integer number (4827900).

Almost surely, 2^147972552 is an apocalyptic number.

147972552 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 147972552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231739200).

147972552 is an abundant number, since it is smaller than the sum of its proper divisors (315505848).

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

147972552 is a wasteful number, since it uses less digits than its factorization.

147972552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9715 (or 9704 counting only the distinct ones).

The product of its digits is 176400, while the sum is 42.

The square root of 147972552 is about 12164.3969024362. The cubic root of 147972552 is about 528.9245452060.

The spelling of 147972552 in words is "one hundred forty-seven million, nine hundred seventy-two thousand, five hundred fifty-two".