72383220 has 240 divisors, whose sum is σ = 280038528. Its totient is φ = 15240960.

The previous prime is 72383203. The next prime is 72383239. The reversal of 72383220 is 2238327.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 147175 + ... + 147665.

Almost surely, 2^72383220 is an apocalyptic number.

72383220 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 72383220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140019264).

72383220 is an abundant number, since it is smaller than the sum of its proper divisors (207655308).

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

72383220 is a wasteful number, since it uses less digits than its factorization.

72383220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 72383220 is about 8507.8328615459. The cubic root of 72383220 is about 416.7535420629.

The spelling of 72383220 in words is "seventy-two million, three hundred eighty-three thousand, two hundred twenty".