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72092340 = 22325974129
BaseRepresentation
bin1000100110000…
…00101010110100
312000122200002200
410103000222310
5121423423330
611053104500
71533526515
oct423005264
9160580080
1072092340
1137770051
1220188130
1311c21cb8
149808a0c
1564e0a60
hex44c0ab4

72092340 has 72 divisors (see below), whose sum is σ = 220988040. Its totient is φ = 19021824.

The previous prime is 72092311. The next prime is 72092353. The reversal of 72092340 is 4329027.

It can be written as a sum of positive squares in 4 ways, for example, as 7257636 + 64834704 = 2694^2 + 8052^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15396 + ... + 19524.

Almost surely, 272092340 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 72092340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110494020).

72092340 is an abundant number, since it is smaller than the sum of its proper divisors (148895700).

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

72092340 is a wasteful number, since it uses less digits than its factorization.

72092340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4241 (or 4236 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 72092340 is about 8490.7208174571. The cubic root of 72092340 is about 416.1945358017.

The spelling of 72092340 in words is "seventy-two million, ninety-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 97 180 194 291 388 485 582 873 970 1164 1455 1746 1940 2910 3492 4129 4365 5820 8258 8730 12387 16516 17460 20645 24774 37161 41290 49548 61935 74322 82580 123870 148644 185805 247740 371610 400513 743220 801026 1201539 1602052 2002565 2403078 3604617 4005130 4806156 6007695 7209234 8010260 12015390 14418468 18023085 24030780 36046170 72092340