54072000 has 168 divisors, whose sum is σ = 193682112. Its totient is φ = 14400000.

The previous prime is 54071993. The next prime is 54072017. The reversal of 54072000 is 27045.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 71625 + ... + 72375.

Almost surely, 2^54072000 is an apocalyptic number.

54072000 is a gapful number since it is divisible by the number (50) 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 54072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96841056).

54072000 is an abundant number, since it is smaller than the sum of its proper divisors (139610112).

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

54072000 is a wasteful number, since it uses less digits than its factorization.

54072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 54072000 is about 7353.3665759297. The cubic root of 54072000 is about 378.1442298350.

Adding to 54072000 its reverse (27045), we get a palindrome (54099045).

The spelling of 54072000 in words is "fifty-four million, seventy-two thousand".