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72630016 = 28614651
BaseRepresentation
bin1000101010000…
…11111100000000
312001122222122121
410111003330000
5122043130031
611112414024
71541226214
oct425037400
9161588577
1072630016
1137aa8008
12203a7314
131207c954
149908944
15659a011
hex4543f00

72630016 has 36 divisors (see below), whose sum is σ = 147384664. Its totient is φ = 35712000.

The previous prime is 72629987. The next prime is 72630017. The reversal of 72630016 is 61003627.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72630017) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13291 + ... + 17941.

Almost surely, 272630016 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 72630016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73692332).

72630016 is an abundant number, since it is smaller than the sum of its proper divisors (74754648).

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

72630016 is an equidigital number, since it uses as much as digits as its factorization.

72630016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4728 (or 4714 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 25.

The square root of 72630016 is about 8522.3245655161. The cubic root of 72630016 is about 417.2266555505.

The spelling of 72630016 in words is "seventy-two million, six hundred thirty thousand, sixteen".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 256 488 976 1952 3904 4651 7808 9302 15616 18604 37208 74416 148832 283711 297664 567422 595328 1134844 1190656 2269688 4539376 9078752 18157504 36315008 72630016