Search a number
-
+
72634016 = 2571324943
BaseRepresentation
bin1000101010001…
…00111010100000
312001200012010202
410111010322200
5122043242031
611112444332
71541243660
oct425047240
9161605122
1072634016
1138000014
12203a96a8
1312081710
14990a1a0
15659b2cb
hex4544ea0

72634016 has 48 divisors (see below), whose sum is σ = 176004864. Its totient is φ = 28733184.

The previous prime is 72633983. The next prime is 72634019. The reversal of 72634016 is 61043627.

It is a self number, because there is not a number n which added to its sum of digits gives 72634016.

It is not an unprimeable number, because it can be changed into a prime (72634019) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9560 + ... + 15383.

It is an arithmetic number, because the mean of its divisors is an integer number (3666768).

Almost surely, 272634016 is an apocalyptic number.

It is an amenable number.

72634016 is an abundant number, since it is smaller than the sum of its proper divisors (103370848).

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

72634016 is a wasteful number, since it uses less digits than its factorization.

72634016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24973 (or 24965 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 72634016 is about 8522.5592400405. The cubic root of 72634016 is about 417.2343148080.

The spelling of 72634016 in words is "seventy-two million, six hundred thirty-four thousand, sixteen".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 728 1456 2912 24943 49886 99772 174601 199544 324259 349202 399088 648518 698404 798176 1297036 1396808 2269813 2594072 2793616 4539626 5188144 5587232 9079252 10376288 18158504 36317008 72634016