53892072 has 144 divisors (see below), whose sum is σ = 163294560. Its totient is φ = 16039296.

The previous prime is 53892071. The next prime is 53892077. The reversal of 53892072 is 27029835.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (53892071) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 523173 + ... + 523275.

It is an arithmetic number, because the mean of its divisors is an integer number (1133990).

Almost surely, 2^53892072 is an apocalyptic number.

53892072 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 53892072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81647280).

53892072 is an abundant number, since it is smaller than the sum of its proper divisors (109402488).

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

53892072 is a wasteful number, since it uses less digits than its factorization.

53892072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 53892072 is about 7341.1219850919. The cubic root of 53892072 is about 377.7243307959.

The spelling of 53892072 in words is "fifty-three million, eight hundred ninety-two thousand, seventy-two".