53072000 has 128 divisors (see below), whose sum is σ = 137479680. Its totient is φ = 20352000.

The previous prime is 53071987. The next prime is 53072029. The reversal of 53072000 is 27035.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 53072000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 495947 + ... + 496053.

It is an arithmetic number, because the mean of its divisors is an integer number (1074060).

Almost surely, 2^53072000 is an apocalyptic number.

53072000 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 53072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68739840).

53072000 is an abundant number, since it is smaller than the sum of its proper divisors (84407680).

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

53072000 is a wasteful number, since it uses less digits than its factorization.

53072000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 17.

The square root of 53072000 is about 7285.0531912952. The cubic root of 53072000 is about 375.7985944143.

Adding to 53072000 its reverse (27035), we get a palindrome (53099035).

The spelling of 53072000 in words is "fifty-three million, seventy-two thousand".