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72643374 = 2324035743
BaseRepresentation
bin1000101010001…
…11001100101110
312001200122222100
410111013030232
5122044041444
611112555530
71541313156
oct425071456
9161618870
1072643374
1138007051
12203b2ba6
1312085a5b
14990d766
15659de69
hex454732e

72643374 has 12 divisors (see below), whose sum is σ = 157394016. Its totient is φ = 24214452.

The previous prime is 72643369. The next prime is 72643379. The reversal of 72643374 is 47334627.

It is a happy number.

72643374 is a `hidden beast` number, since 7 + 2 + 643 + 3 + 7 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (72643369) and next prime (72643379).

It is a super-2 number, since 2×726433742 = 10554119572207752, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72643379) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2017854 + ... + 2017889.

It is an arithmetic number, because the mean of its divisors is an integer number (13116168).

Almost surely, 272643374 is an apocalyptic number.

72643374 is an abundant number, since it is smaller than the sum of its proper divisors (84750642).

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

72643374 is a wasteful number, since it uses less digits than its factorization.

72643374 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4035751 (or 4035748 counting only the distinct ones).

The product of its digits is 84672, while the sum is 36.

The square root of 72643374 is about 8523.1082358492. The cubic root of 72643374 is about 417.2522325425.

It can be divided in two parts, 726 and 43374, that added together give a square (44100 = 2102).

The spelling of 72643374 in words is "seventy-two million, six hundred forty-three thousand, three hundred seventy-four".

Divisors: 1 2 3 6 9 18 4035743 8071486 12107229 24214458 36321687 72643374