[go: up one dir, main page]

Search a number
-
+
72744812 = 2273371433
BaseRepresentation
bin1000101010111…
…11111101101100
312001212211010022
410111133331230
5122110313222
611115101312
71542215000
oct425377554
9161784108
1072744812
1138076288
1220441838
13120bcc8a
149938700
1565be042
hex455ff6c

72744812 has 48 divisors (see below), whose sum is σ = 152577600. Its totient is φ = 30312576.

The previous prime is 72744809. The next prime is 72744869. The reversal of 72744812 is 21844727.

It is a happy number.

It is an unprimeable number.

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, 50048 + ... + 51480.

It is an arithmetic number, because the mean of its divisors is an integer number (3178700).

Almost surely, 272744812 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 72744812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76288800).

72744812 is an abundant number, since it is smaller than the sum of its proper divisors (79832788).

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

72744812 is a wasteful number, since it uses less digits than its factorization.

72744812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1495 (or 1479 counting only the distinct ones).

The product of its digits is 25088, while the sum is 35.

The square root of 72744812 is about 8529.0569232477. The cubic root of 72744812 is about 417.4463569072.

The spelling of 72744812 in words is "seventy-two million, seven hundred forty-four thousand, eight hundred twelve".

Divisors: 1 2 4 7 14 28 37 49 74 98 148 196 259 343 518 686 1036 1372 1433 1813 2866 3626 5732 7252 10031 12691 20062 25382 40124 50764 53021 70217 106042 140434 212084 280868 371147 491519 742294 983038 1484588 1966076 2598029 5196058 10392116 18186203 36372406 72744812