72019920 has 160 divisors (see below), whose sum is σ = 257697792. Its totient is φ = 16298496.

The previous prime is 72019901. The next prime is 72019921. The reversal of 72019920 is 2991027.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72019921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 273709 + ... + 273971.

Almost surely, 2^72019920 is an apocalyptic number.

72019920 is a gapful number since it is divisible by the number (70) 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 72019920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128848896).

72019920 is an abundant number, since it is smaller than the sum of its proper divisors (185677872).

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

72019920 is a wasteful number, since it uses less digits than its factorization.

72019920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 30.

The square root of 72019920 is about 8486.4550903189. The cubic root of 72019920 is about 416.0551270632.

The spelling of 72019920 in words is "seventy-two million, nineteen thousand, nine hundred twenty".