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72440144 = 2472922303
BaseRepresentation
bin1000101000101…
…01100101010000
312001022100012022
410110111211100
5122021041034
611104351012
71536505520
oct424254520
9161270168
1072440144
1137988397
1220315468
13120143ba
149899680
15655db2e
hex4515950

72440144 has 40 divisors (see below), whose sum is σ = 165941760. Its totient is φ = 29973888.

The previous prime is 72440143. The next prime is 72440161. The reversal of 72440144 is 44104427.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72440143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7904 + ... + 14399.

It is an arithmetic number, because the mean of its divisors is an integer number (4148544).

Almost surely, 272440144 is an apocalyptic number.

It is an amenable number.

72440144 is an abundant number, since it is smaller than the sum of its proper divisors (93501616).

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

72440144 is a wasteful number, since it uses less digits than its factorization.

72440144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22347 (or 22341 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 26.

The square root of 72440144 is about 8511.1775918494. The cubic root of 72440144 is about 416.8627619552.

The spelling of 72440144 in words is "seventy-two million, four hundred forty thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 29 56 58 112 116 203 232 406 464 812 1624 3248 22303 44606 89212 156121 178424 312242 356848 624484 646787 1248968 1293574 2497936 2587148 4527509 5174296 9055018 10348592 18110036 36220072 72440144