54629172 has 72 divisors (see below), whose sum is σ = 150174024. Its totient is φ = 16644096.

The previous prime is 54629153. The next prime is 54629191. The reversal of 54629172 is 27192645.

It is an interprime number because it is at equal distance from previous prime (54629153) and next prime (54629191).

It can be written as a sum of positive squares in 4 ways, for example, as 1572516 + 53056656 = 1254^2 + 7284^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52368 + ... + 53400.

Almost surely, 2^54629172 is an apocalyptic number.

54629172 is a gapful number since it is divisible by the number (52) 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 54629172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75087012).

54629172 is an abundant number, since it is smaller than the sum of its proper divisors (95544852).

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

54629172 is a wasteful number, since it uses less digits than its factorization.

54629172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1169 (or 1164 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 54629172 is about 7391.1549841686. The cubic root of 54629172 is about 379.4386263085.

The spelling of 54629172 in words is "fifty-four million, six hundred twenty-nine thousand, one hundred seventy-two".