54675972 has 72 divisors (see below), whose sum is σ = 154388416. Its totient is φ = 16819488.

The previous prime is 54675941. The next prime is 54676003. The reversal of 54675972 is 27957645.

54675972 is a `hidden beast` number, since 54 + 6 + 7 + 597 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (54675941) and next prime (54676003).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10473 + ... + 14799.

Almost surely, 2^54675972 is an apocalyptic number.

54675972 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 54675972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77194208).

54675972 is an abundant number, since it is smaller than the sum of its proper divisors (99712444).

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

54675972 is a wasteful number, since it uses less digits than its factorization.

54675972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4359 (or 4345 counting only the distinct ones).

The product of its digits is 529200, while the sum is 45.

The square root of 54675972 is about 7394.3202527345. The cubic root of 54675972 is about 379.5469485262.

It can be divided in two parts, 54675 and 972, that multiplied together give a square (53144100 = 7290²).

The spelling of 54675972 in words is "fifty-four million, six hundred seventy-five thousand, nine hundred seventy-two".