Search a number
-
+
72393468 = 22372813067
BaseRepresentation
bin1000101000010…
…10001011111100
312001012222011120
410110022023330
5122013042333
611103350540
71536222450
oct424121374
9161188146
1072393468
1137956314
12202b2450
1311cc9094
149886660
15654edb3
hex450a2fc

72393468 has 48 divisors (see below), whose sum is σ = 193799424. Its totient is φ = 20603520.

The previous prime is 72393449. The next prime is 72393469. The reversal of 72393468 is 86439327.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72393469) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22071 + ... + 25137.

It is an arithmetic number, because the mean of its divisors is an integer number (4037488).

Almost surely, 272393468 is an apocalyptic number.

It is an amenable number.

72393468 is an abundant number, since it is smaller than the sum of its proper divisors (121405956).

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

72393468 is a wasteful number, since it uses less digits than its factorization.

72393468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3362 (or 3360 counting only the distinct ones).

The product of its digits is 217728, while the sum is 42.

The square root of 72393468 is about 8508.4351087612. The cubic root of 72393468 is about 416.7732090924.

The spelling of 72393468 in words is "seventy-two million, three hundred ninety-three thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 281 562 843 1124 1686 1967 3067 3372 3934 5901 6134 7868 9201 11802 12268 18402 21469 23604 36804 42938 64407 85876 128814 257628 861827 1723654 2585481 3447308 5170962 6032789 10341924 12065578 18098367 24131156 36196734 72393468