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72676620 = 22325616619
BaseRepresentation
bin1000101010011…
…11010100001100
312001202100120200
410111033110030
5122101122440
611113413500
71541512122
oct425172414
9161670520
1072676620
113802a025
122040a290
1312097c23
14991b912
1565a8c30
hex454f50c

72676620 has 72 divisors (see below), whose sum is σ = 224100240. Its totient is φ = 19059840.

The previous prime is 72676609. The next prime is 72676673. The reversal of 72676620 is 2667627.

72676620 is a `hidden beast` number, since 7 + 26 + 7 + 6 + 620 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7671 + ... + 14289.

Almost surely, 272676620 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 72676620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112050120).

72676620 is an abundant number, since it is smaller than the sum of its proper divisors (151423620).

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

72676620 is a wasteful number, since it uses less digits than its factorization.

72676620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6695 (or 6690 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 72676620 is about 8525.0583575715. The cubic root of 72676620 is about 417.3158761174.

The spelling of 72676620 in words is "seventy-two million, six hundred seventy-six thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 61 90 122 180 183 244 305 366 549 610 732 915 1098 1220 1830 2196 2745 3660 5490 6619 10980 13238 19857 26476 33095 39714 59571 66190 79428 99285 119142 132380 198570 238284 297855 397140 403759 595710 807518 1191420 1211277 1615036 2018795 2422554 3633831 4037590 4845108 6056385 7267662 8075180 12112770 14535324 18169155 24225540 36338310 72676620