Search a number
-
+
72329439 = 373135407
BaseRepresentation
bin1000100111110…
…10100011011111
312001002201100010
410103322203133
5122004020224
611102134303
71535535000
oct423724337
9161081303
1072329439
11379121a6
1220281393
1311ca5bb0
14986b1a7
15653ae29
hex44fa8df

72329439 has 32 divisors (see below), whose sum is σ = 121139200. Its totient is φ = 38144736.

The previous prime is 72329419. The next prime is 72329449. The reversal of 72329439 is 93492327.

It is not a de Polignac number, because 72329439 - 211 = 72327391 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 72329397 and 72329406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72329419) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10674 + ... + 16080.

It is an arithmetic number, because the mean of its divisors is an integer number (3785600).

Almost surely, 272329439 is an apocalyptic number.

72329439 is a deficient number, since it is larger than the sum of its proper divisors (48809761).

72329439 is a wasteful number, since it uses less digits than its factorization.

72329439 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5444 (or 5430 counting only the distinct ones).

The product of its digits is 81648, while the sum is 39.

The square root of 72329439 is about 8504.6715985980. The cubic root of 72329439 is about 416.6503000149.

The spelling of 72329439 in words is "seventy-two million, three hundred twenty-nine thousand, four hundred thirty-nine".

Divisors: 1 3 7 13 21 39 49 91 147 273 343 637 1029 1911 4459 5407 13377 16221 37849 70291 113547 210873 264943 492037 794829 1476111 1854601 3444259 5563803 10332777 24109813 72329439