Search a number
-
+
72136896 = 2631328901
BaseRepresentation
bin1000100110010…
…11100011000000
312000201221012220
410103023203000
5121431340041
611054051040
71534103436
oct423134300
9160657186
1072136896
11377a0577
12201a9a80
1311c39370
14981ad56
1564edd66
hex44cb8c0

72136896 has 56 divisors (see below), whose sum is σ = 205551024. Its totient is φ = 22195200.

The previous prime is 72136873. The next prime is 72136931. The reversal of 72136896 is 69863127.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11955 + ... + 16946.

It is an arithmetic number, because the mean of its divisors is an integer number (3670554).

Almost surely, 272136896 is an apocalyptic number.

It is an amenable number.

72136896 is an abundant number, since it is smaller than the sum of its proper divisors (133414128).

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

72136896 is a wasteful number, since it uses less digits than its factorization.

72136896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28929 (or 28919 counting only the distinct ones).

The product of its digits is 108864, while the sum is 42.

The square root of 72136896 is about 8493.3442176801. The cubic root of 72136896 is about 416.2802598640.

The spelling of 72136896 in words is "seventy-two million, one hundred thirty-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 2496 28901 57802 86703 115604 173406 231208 346812 375713 462416 693624 751426 924832 1127139 1387248 1502852 1849664 2254278 2774496 3005704 4508556 5548992 6011408 9017112 12022816 18034224 24045632 36068448 72136896