72090432 has 56 divisors (see below), whose sum is σ = 211937600. Its totient is φ = 24029568.

The previous prime is 72090419. The next prime is 72090437. The reversal of 72090432 is 23409027.

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 Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 72090396 and 72090405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72090437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19132 + ... + 22587.

It is an arithmetic number, because the mean of its divisors is an integer number (3784600).

Almost surely, 2^72090432 is an apocalyptic number.

72090432 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

72090432 is an abundant number, since it is smaller than the sum of its proper divisors (139847168).

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

72090432 is a wasteful number, since it uses less digits than its factorization.

72090432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41740 (or 41724 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 72090432 is about 8490.6084587620. The cubic root of 72090432 is about 416.1908640932.

Adding to 72090432 its reverse (23409027), we get a palindrome (95499459).

The spelling of 72090432 in words is "seventy-two million, ninety thousand, four hundred thirty-two".