Search a number
-
+
72612064 = 257324161
BaseRepresentation
bin1000101001111…
…11100011100000
312001122002000201
410110333203200
5122042041224
611112154544
71541122660
oct424774340
9161562021
1072612064
1137a95578
1220398a54
1312074725
1499021a0
156594a44
hex453f8e0

72612064 has 24 divisors (see below), whose sum is σ = 163377648. Its totient is φ = 31119360.

The previous prime is 72612047. The next prime is 72612073. The reversal of 72612064 is 46021627.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 161857 + ... + 162304.

It is an arithmetic number, because the mean of its divisors is an integer number (6807402).

Almost surely, 272612064 is an apocalyptic number.

It is an amenable number.

72612064 is an abundant number, since it is smaller than the sum of its proper divisors (90765584).

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

72612064 is a wasteful number, since it uses less digits than its factorization.

72612064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324178 (or 324170 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 72612064 is about 8521.2712666597. The cubic root of 72612064 is about 417.1922773392.

The spelling of 72612064 in words is "seventy-two million, six hundred twelve thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 324161 648322 1296644 2269127 2593288 4538254 5186576 9076508 10373152 18153016 36306032 72612064