53307072 has 280 divisors, whose sum is σ = 196205856. Its totient is φ = 13934592.

The previous prime is 53306993. The next prime is 53307083. The reversal of 53307072 is 27070335.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 471688 + ... + 471800.

Almost surely, 2^53307072 is an apocalyptic number.

53307072 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 53307072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98102928).

53307072 is an abundant number, since it is smaller than the sum of its proper divisors (142898784).

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

53307072 is a wasteful number, since it uses less digits than its factorization.

53307072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 27.

The square root of 53307072 is about 7301.1692214330. The cubic root of 53307072 is about 376.3526192570.

The spelling of 53307072 in words is "fifty-three million, three hundred seven thousand, seventy-two".