72053532 has 18 divisors (see below), whose sum is σ = 182135408. Its totient is φ = 24017832.

The previous prime is 72053519. The next prime is 72053551. The reversal of 72053532 is 23535027.

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×72053532² = 10383422947350048, which contains 22 as substring.

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 junction number, because it is equal to n+sod(n) for n = 72053496 and 72053505.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1000708 + ... + 1000779.

Almost surely, 2^72053532 is an apocalyptic number.

It is an amenable number.

72053532 is an abundant number, since it is smaller than the sum of its proper divisors (110081876).

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

72053532 is a wasteful number, since it uses less digits than its factorization.

72053532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2001497 (or 2001492 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 27.

The square root of 72053532 is about 8488.4351914826. The cubic root of 72053532 is about 416.1198418901.

Adding to 72053532 its reverse (23535027), we get a palindrome (95588559).

The spelling of 72053532 in words is "seventy-two million, fifty-three thousand, five hundred thirty-two".