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72220380 = 22359712409
BaseRepresentation
bin1000100110111…
…11111011011100
312000220011201220
410103133323130
5121442023010
611055533340
71534602021
oct423377334
9160804656
1072220380
1137848271
122022a250
1311c6836b
14983d548
156518970
hex44dfedc

72220380 has 48 divisors (see below), whose sum is σ = 204318240. Its totient is φ = 19058688.

The previous prime is 72220363. The next prime is 72220381. The reversal of 72220380 is 8302227.

It is a self number, because there is not a number n which added to its sum of digits gives 72220380.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72220381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 385 + ... + 12024.

It is an arithmetic number, because the mean of its divisors is an integer number (4256630).

Almost surely, 272220380 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 72220380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102159120).

72220380 is an abundant number, since it is smaller than the sum of its proper divisors (132097860).

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

72220380 is a wasteful number, since it uses less digits than its factorization.

72220380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12518 (or 12516 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 72220380 is about 8498.2574684461. The cubic root of 72220380 is about 416.4407849458.

The spelling of 72220380 in words is "seventy-two million, two hundred twenty thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 97 194 291 388 485 582 970 1164 1455 1940 2910 5820 12409 24818 37227 49636 62045 74454 124090 148908 186135 248180 372270 744540 1203673 2407346 3611019 4814692 6018365 7222038 12036730 14444076 18055095 24073460 36110190 72220380