54345672 has 48 divisors (see below), whose sum is σ = 149273280. Its totient is φ = 17858400.

The previous prime is 54345671. The next prime is 54345673. The reversal of 54345672 is 27654345.

54345672 is a `hidden beast` number, since 543 + 45 + 6 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (54345671) and next prime (54345673).

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

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (54345671) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 204 + ... + 10427.

It is an arithmetic number, because the mean of its divisors is an integer number (3109860).

Almost surely, 2^54345672 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 54345672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74636640).

54345672 is an abundant number, since it is smaller than the sum of its proper divisors (94927608).

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

54345672 is a wasteful number, since it uses less digits than its factorization.

54345672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10714 (or 10707 counting only the distinct ones).

The product of its digits is 100800, while the sum is 36.

The square root of 54345672 is about 7371.9517090117. The cubic root of 54345672 is about 378.7811175950.

The spelling of 54345672 in words is "fifty-four million, three hundred forty-five thousand, six hundred seventy-two".