72053136 has 30 divisors (see below), whose sum is σ = 201649110. Its totient is φ = 24017664.

The previous prime is 72053099. The next prime is 72053141. The reversal of 72053136 is 63135027.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 47610000 + 24443136 = 6900^2 + 4944^2 .

72053136 is a modest number, since divided by 53136 gives 720 as remainder.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 250041 + ... + 250328.

It is an arithmetic number, because the mean of its divisors is an integer number (6721637).

Almost surely, 2^72053136 is an apocalyptic number.

It is an amenable number.

72053136 is an abundant number, since it is smaller than the sum of its proper divisors (129595974).

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

72053136 is a wasteful number, since it uses less digits than its factorization.

72053136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500383 (or 500374 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 72053136 is about 8488.4118655965. The cubic root of 72053136 is about 416.1190795691.

The spelling of 72053136 in words is "seventy-two million, fifty-three thousand, one hundred thirty-six".