72090832 has 60 divisors (see below), whose sum is σ = 160302240. Its totient is φ = 31324480.

The previous prime is 72090827. The next prime is 72090847. The reversal of 72090832 is 23809027.

It is a super-3 number, since 3×72090832³ (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 72090794 and 72090803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43719 + ... + 45337.

It is an arithmetic number, because the mean of its divisors is an integer number (2671704).

Almost surely, 2^72090832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72090832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80151120).

72090832 is an abundant number, since it is smaller than the sum of its proper divisors (88211408).

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

72090832 is a wasteful number, since it uses less digits than its factorization.

72090832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1672 (or 1655 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 72090832 is about 8490.6320141671. The cubic root of 72090832 is about 416.1916338488.

Adding to 72090832 its reverse (23809027), we get a palindrome (95899859).

The spelling of 72090832 in words is "seventy-two million, ninety thousand, eight hundred thirty-two".