72000372 has 48 divisors (see below), whose sum is σ = 182710080. Its totient is φ = 21975552.

The previous prime is 72000371. The next prime is 72000421. The reversal of 72000372 is 27300027.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72000371) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2779 + ... + 12317.

It is an arithmetic number, because the mean of its divisors is an integer number (3806460).

Almost surely, 2^72000372 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 72000372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91355040).

72000372 is an abundant number, since it is smaller than the sum of its proper divisors (110709708).

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

72000372 is a wasteful number, since it uses less digits than its factorization.

72000372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9600 (or 9598 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 21.

The square root of 72000372 is about 8485.3032945205. The cubic root of 72000372 is about 416.0174810825.

Adding to 72000372 its reverse (27300027), we get a palindrome (99300399).

The spelling of 72000372 in words is "seventy-two million, three hundred seventy-two", and thus it is an aban number.