72195032 has 96 divisors (see below), whose sum is σ = 175432320. Its totient is φ = 27578880.

The previous prime is 72194981. The next prime is 72195043. The reversal of 72195032 is 23059127.

It is a junction number, because it is equal to n+sod(n) for n = 72194986 and 72195004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 157748 + ... + 158204.

It is an arithmetic number, because the mean of its divisors is an integer number (1827420).

Almost surely, 2^72195032 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 72195032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87716160).

72195032 is an abundant number, since it is smaller than the sum of its proper divisors (103237288).

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

72195032 is a wasteful number, since it uses less digits than its factorization.

72195032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 29.

The square root of 72195032 is about 8496.7659730041. The cubic root of 72195032 is about 416.3920582741.

The spelling of 72195032 in words is "seventy-two million, one hundred ninety-five thousand, thirty-two".