72053872 has 20 divisors (see below), whose sum is σ = 152296056. Its totient is φ = 32751680.

The previous prime is 72053869. The next prime is 72053873. The reversal of 72053872 is 27835027.

It is a super-3 number, since 3×72053872³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72053873) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 204523 + ... + 204874.

Almost surely, 2^72053872 is an apocalyptic number.

It is an amenable number.

72053872 is an abundant number, since it is smaller than the sum of its proper divisors (80242184).

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

72053872 is a wasteful number, since it uses less digits than its factorization.

72053872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409416 (or 409410 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 34.

The square root of 72053872 is about 8488.4552187073. The cubic root of 72053872 is about 416.1204964059.

Adding to 72053872 its reverse (27835027), we get a palindrome (99888899).

The spelling of 72053872 in words is "seventy-two million, fifty-three thousand, eight hundred seventy-two".