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72023418 = 234444589
BaseRepresentation
bin1000100101011…
…11110101111010
312000112011120000
410102233311322
5121414222133
611051413430
71533121545
oct422576572
9160464500
1072023418
1137723295
1220154276
1311bc980c
1497cb85c
1564ca413
hex44afd7a

72023418 has 20 divisors (see below), whose sum is σ = 161386170. Its totient is φ = 24007752.

The previous prime is 72023387. The next prime is 72023437. The reversal of 72023418 is 81432027.

It can be written as a sum of positive squares in only one way, i.e., 69006249 + 3017169 = 8307^2 + 1737^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 72023391 and 72023400.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 222133 + ... + 222456.

Almost surely, 272023418 is an apocalyptic number.

72023418 is an abundant number, since it is smaller than the sum of its proper divisors (89362752).

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

72023418 is a wasteful number, since it uses less digits than its factorization.

72023418 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444603 (or 444594 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 72023418 is about 8486.6611809356. The cubic root of 72023418 is about 416.0618628722.

The spelling of 72023418 in words is "seventy-two million, twenty-three thousand, four hundred eighteen".

Divisors: 1 2 3 6 9 18 27 54 81 162 444589 889178 1333767 2667534 4001301 8002602 12003903 24007806 36011709 72023418