54954072 has 128 divisors (see below), whose sum is σ = 163584000. Its totient is φ = 17055360.

The previous prime is 54954037. The next prime is 54954073. The reversal of 54954072 is 27045945.

54954072 is a `hidden beast` number, since 5 + 49 + 540 + 72 = 666.

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 (54954073) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 194043 + ... + 194325.

It is an arithmetic number, because the mean of its divisors is an integer number (1278000).

Almost surely, 2^54954072 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 54954072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81792000).

54954072 is an abundant number, since it is smaller than the sum of its proper divisors (108629928).

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

54954072 is a wasteful number, since it uses less digits than its factorization.

54954072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 54954072 is about 7413.1013752680. The cubic root of 54954072 is about 380.1893608394.

The spelling of 54954072 in words is "fifty-four million, nine hundred fifty-four thousand, seventy-two".