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72376272 = 2432502613
BaseRepresentation
bin1000101000001…
…01111111010000
312001012002120200
410110011333100
5122012020042
611103135200
71536121353
oct424057720
9161162520
1072376272
1137944401
12202a4500
1311cc12c7
14988029a
156549c4c
hex4505fd0

72376272 has 30 divisors (see below), whose sum is σ = 202553442. Its totient is φ = 24125376.

The previous prime is 72376253. The next prime is 72376273. The reversal of 72376272 is 27267327.

72376272 is a `hidden beast` number, since 7 + 23 + 7 + 627 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 42302016 + 30074256 = 6504^2 + 5484^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72376273) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 251163 + ... + 251450.

Almost surely, 272376272 is an apocalyptic number.

72376272 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

72376272 is an abundant number, since it is smaller than the sum of its proper divisors (130177170).

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

72376272 is a wasteful number, since it uses less digits than its factorization.

72376272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502627 (or 502618 counting only the distinct ones).

The product of its digits is 49392, while the sum is 36.

The square root of 72376272 is about 8507.4245221453. The cubic root of 72376272 is about 416.7402070374.

The spelling of 72376272 in words is "seventy-two million, three hundred seventy-six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 502613 1005226 1507839 2010452 3015678 4020904 4523517 6031356 8041808 9047034 12062712 18094068 24125424 36188136 72376272