53658072 has 128 divisors (see below), whose sum is σ = 162993600. Its totient is φ = 16257024.

The previous prime is 53658043. The next prime is 53658083. The reversal of 53658072 is 27085635.

53658072 is a `hidden beast` number, since 5 + 3 + 6 + 580 + 72 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 272278 + ... + 272474.

Almost surely, 2^53658072 is an apocalyptic number.

53658072 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 53658072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81496800).

53658072 is an abundant number, since it is smaller than the sum of its proper divisors (109335528).

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

53658072 is a wasteful number, since it uses less digits than its factorization.

53658072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 53658072 is about 7325.1670288124. The cubic root of 53658072 is about 377.1768431592.

The spelling of 53658072 in words is "fifty-three million, six hundred fifty-eight thousand, seventy-two".