72013032 has 192 divisors, whose sum is σ = 248976000. Its totient is φ = 18289152.

The previous prime is 72012991. The next prime is 72013043. The reversal of 72013032 is 23031027.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 72012996 and 72013014.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 189819 + ... + 190197.

It is an arithmetic number, because the mean of its divisors is an integer number (1296750).

Almost surely, 2^72013032 is an apocalyptic number.

72013032 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72013032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124488000).

72013032 is an abundant number, since it is smaller than the sum of its proper divisors (176962968).

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

72013032 is a wasteful number, since it uses less digits than its factorization.

72013032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 72013032 is about 8486.0492574578. The cubic root of 72013032 is about 416.0418627743.

Adding to 72013032 its reverse (23031027), we get a palindrome (95044059).

The spelling of 72013032 in words is "seventy-two million, thirteen thousand, thirty-two".