53962272 has 288 divisors, whose sum is σ = 198132480. Its totient is φ = 13547520.

The previous prime is 53962231. The next prime is 53962277. The reversal of 53962272 is 27226935.

It is a tau number, because it is divible by the number of its divisors (288).

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 (53962277) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 759997 + ... + 760067.

It is an arithmetic number, because the mean of its divisors is an integer number (687960).

Almost surely, 2^53962272 is an apocalyptic number.

53962272 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 53962272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99066240).

53962272 is an abundant number, since it is smaller than the sum of its proper divisors (144170208).

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

53962272 is a wasteful number, since it uses less digits than its factorization.

53962272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 125 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 53962272 is about 7345.9017145617. The cubic root of 53962272 is about 377.8882679761. Note that the first 3 decimals are identical.

The spelling of 53962272 in words is "fifty-three million, nine hundred sixty-two thousand, two hundred seventy-two".