53972100 has 216 divisors, whose sum is σ = 208528320. Its totient is φ = 11370240.

The previous prime is 53972069. The next prime is 53972101. The reversal of 53972100 is 127935.

It is not an unprimeable number, because it can be changed into a prime (53972101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 81571 + ... + 82229.

Almost surely, 2^53972100 is an apocalyptic number.

53972100 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 53972100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104264160).

53972100 is an abundant number, since it is smaller than the sum of its proper divisors (154556220).

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

53972100 is a wasteful number, since it uses less digits than its factorization.

53972100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 53972100 is about 7346.5706285314. The cubic root of 53972100 is about 377.9112078334.

The spelling of 53972100 in words is "fifty-three million, nine hundred seventy-two thousand, one hundred".