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72298420 = 22519613119
BaseRepresentation
bin1000100111100…
…10111110110100
312001001010210021
410103302332310
5122002022140
611101334524
71535345365
oct423627664
9161033707
1072298420
11378a0967
1220267444
1311c94a3c
14985db6c
156531b4a
hex44f2fb4

72298420 has 48 divisors (see below), whose sum is σ = 162489600. Its totient is φ = 26939520.

The previous prime is 72298411. The next prime is 72298441. The reversal of 72298420 is 2489227.

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, 21621 + ... + 24739.

It is an arithmetic number, because the mean of its divisors is an integer number (3385200).

Almost surely, 272298420 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 72298420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81244800).

72298420 is an abundant number, since it is smaller than the sum of its proper divisors (90191180).

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

72298420 is a wasteful number, since it uses less digits than its factorization.

72298420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3208 (or 3206 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 72298420 is about 8502.8477582513. The cubic root of 72298420 is about 416.5907303394.

The spelling of 72298420 in words is "seventy-two million, two hundred ninety-eight thousand, four hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 61 76 95 122 190 244 305 380 610 1159 1220 2318 3119 4636 5795 6238 11590 12476 15595 23180 31190 59261 62380 118522 190259 237044 296305 380518 592610 761036 951295 1185220 1902590 3614921 3805180 7229842 14459684 18074605 36149210 72298420