54517752 has 64 divisors (see below), whose sum is σ = 152064000. Its totient is φ = 18097632.

The previous prime is 54517739. The next prime is 54517753. The reversal of 54517752 is 25771545.

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 (54517753) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82399 + ... + 83057.

It is an arithmetic number, because the mean of its divisors is an integer number (2376000).

Almost surely, 2^54517752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54517752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76032000).

54517752 is an abundant number, since it is smaller than the sum of its proper divisors (97546248).

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

54517752 is a wasteful number, since it uses less digits than its factorization.

54517752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1057 (or 1047 counting only the distinct ones).

The product of its digits is 49000, while the sum is 36.

The square root of 54517752 is about 7383.6137493777. The cubic root of 54517752 is about 379.1804868985.

It can be divided in two parts, 5451 and 7752, that added together give a triangular number (13203 = T₁₆₂).

The spelling of 54517752 in words is "fifty-four million, five hundred seventeen thousand, seven hundred fifty-two".