72370032 has 80 divisors (see below), whose sum is σ = 218676480. Its totient is φ = 20192256.

The previous prime is 72370019. The next prime is 72370057. The reversal of 72370032 is 23007327.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 72369984 and 72370011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11944 + ... + 16952.

It is an arithmetic number, because the mean of its divisors is an integer number (2733456).

Almost surely, 2^72370032 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 72370032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109338240).

72370032 is an abundant number, since it is smaller than the sum of its proper divisors (146306448).

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

72370032 is a wasteful number, since it uses less digits than its factorization.

72370032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5070 (or 5064 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 24.

The square root of 72370032 is about 8507.0577757530. The cubic root of 72370032 is about 416.7282301212.

Adding to 72370032 its reverse (23007327), we get a palindrome (95377359).

The spelling of 72370032 in words is "seventy-two million, three hundred seventy thousand, thirty-two".