72053152 has 48 divisors (see below), whose sum is σ = 145212480. Its totient is φ = 35186688.

The previous prime is 72053141. The next prime is 72053159. The reversal of 72053152 is 25135027.

It is not an unprimeable number, because it can be changed into a prime (72053159) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 431373 + ... + 431539.

It is an arithmetic number, because the mean of its divisors is an integer number (3025260).

Almost surely, 2^72053152 is an apocalyptic number.

It is an amenable number.

72053152 is an abundant number, since it is smaller than the sum of its proper divisors (73159328).

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

72053152 is a wasteful number, since it uses less digits than its factorization.

72053152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 25.

The square root of 72053152 is about 8488.4128080578. The cubic root of 72053152 is about 416.1191103700.

Adding to 72053152 its reverse (25135027), we get a palindrome (97188179).

The spelling of 72053152 in words is "seventy-two million, fifty-three thousand, one hundred fifty-two".