53019072 has 84 divisors (see below), whose sum is σ = 153939240. Its totient is φ = 17444352.

The previous prime is 53019067. The next prime is 53019089. The reversal of 53019072 is 27091035.

It is a super-3 number, since 3×53019072³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47254 + ... + 48362.

It is an arithmetic number, because the mean of its divisors is an integer number (1832610).

Almost surely, 2^53019072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53019072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76969620).

53019072 is an abundant number, since it is smaller than the sum of its proper divisors (100920168).

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

53019072 is a wasteful number, since it uses less digits than its factorization.

53019072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1210 (or 1197 counting only the distinct ones).

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

The square root of 53019072 is about 7281.4196418006. The cubic root of 53019072 is about 375.6736265482.

The spelling of 53019072 in words is "fifty-three million, nineteen thousand, seventy-two".