54617472 has 192 divisors, whose sum is σ = 193808160. Its totient is φ = 14376960.

The previous prime is 54617471. The next prime is 54617477. The reversal of 54617472 is 27471645.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54617471) 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, 104572 + ... + 105092.

Almost surely, 2^54617472 is an apocalyptic number.

54617472 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 54617472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96904080).

54617472 is an abundant number, since it is smaller than the sum of its proper divisors (139190688).

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

54617472 is a wasteful number, since it uses less digits than its factorization.

54617472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 546 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 54617472 is about 7390.3634552030. The cubic root of 54617472 is about 379.4115360883.

The spelling of 54617472 in words is "fifty-four million, six hundred seventeen thousand, four hundred seventy-two".