72533475 has 180 divisors, whose sum is σ = 169335144. Its totient is φ = 30481920.

The previous prime is 72533473. The next prime is 72533491. The reversal of 72533475 is 57433527.

It is not a de Polignac number, because 72533475 - 2¹ = 72533473 is a prime.

It is a super-2 number, since 2×72533475² = 10522209991151250, which contains 22 as substring.

Its product of digits (88200) is a multiple of the sum of its prime divisors (75).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72533471) by changing a digit.

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 179 ways as a sum of consecutive naturals, for example, 1686804 + ... + 1686846.

Almost surely, 2^72533475 is an apocalyptic number.

72533475 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

72533475 is an abundant number, since it is smaller than the sum of its proper divisors (96801669).

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

72533475 is a wasteful number, since it uses less digits than its factorization.

72533475 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 75 counting only the distinct ones).

The product of its digits is 88200, while the sum is 36.

The square root of 72533475 is about 8516.6586757953. The cubic root of 72533475 is about 417.0417120947.

The spelling of 72533475 in words is "seventy-two million, five hundred thirty-three thousand, four hundred seventy-five".