172948032 has 84 divisors (see below), whose sum is σ = 521848080. Its totient is φ = 54611712.

The previous prime is 172948031. The next prime is 172948043. The reversal of 172948032 is 230849271.

172948032 is a `hidden beast` number, since 172 + 9 + 480 + 3 + 2 = 666.

It is a super-2 number, since 2×172948032² = 59822043545346048, which contains 22 as substring.

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 (172948031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3043 + ... + 18845.

Almost surely, 2^172948032 is an apocalyptic number.

172948032 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 172948032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260924040).

172948032 is an abundant number, since it is smaller than the sum of its proper divisors (348900048).

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

172948032 is a wasteful number, since it uses less digits than its factorization.

172948032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15840 (or 15827 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 172948032 is about 13150.9707626471. The cubic root of 172948032 is about 557.1496664144.

The spelling of 172948032 in words is "one hundred seventy-two million, nine hundred forty-eight thousand, thirty-two".