72420192 has 216 divisors, whose sum is σ = 239685264. Its totient is φ = 20579328.

The previous prime is 72420167. The next prime is 72420193. The reversal of 72420192 is 29102427.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72420193) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2497234 + ... + 2497262.

It is an arithmetic number, because the mean of its divisors is an integer number (1109654).

Almost surely, 2^72420192 is an apocalyptic number.

72420192 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 72420192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119842632).

72420192 is an abundant number, since it is smaller than the sum of its proper divisors (167265072).

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

72420192 is a wasteful number, since it uses less digits than its factorization.

72420192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 72420192 is about 8510.0054054037. The cubic root of 72420192 is about 416.8244866331.

The spelling of 72420192 in words is "seventy-two million, four hundred twenty thousand, one hundred ninety-two".